scientific article
From MaRDI portal
Publication:3643263
zbMath1175.81146MaRDI QIDQ3643263
Publication date: 11 November 2009
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Quantum field theory; related classical field theories (81Txx)
Related Items
Canonical quantization of the scalar field: the measure theoretic perspective ⋮ Some comments on infinities on quantum field theory: a functional integral approach ⋮ Nonstandard conditions for the global Markov property for lattice fields ⋮ Second quantization and pseudodifferential operators ⋮ On positive generalized functionals ⋮ On the Wick theorem for mixtures of centered Gaussian distributions ⋮ Self-adjointness of elliptic operators in infinitely many variables ⋮ Quantum field theory with an interaction on the boundary ⋮ Traces of harmonic functions and a new path space for the free quantum field ⋮ A new lattice approximation forthe Høegh-Krohn quantum field model ⋮ On dimensional reduction of functional measures ⋮ Modification of the spectrum of the second-quantization operator under its perturbation by a potential ⋮ From bosonic grand-canonical ensembles to nonlinear Gibbs measures ⋮ Stochastic quantization of field theory in finite and infinite volume ⋮ The Simon-Lieb inequality for the \(\phi ^ 4\)-theory in two dimensions ⋮ Classical Dirichlet forms on topological vector spaces - the construction of the associated diffusion process ⋮ A note on the renormalized square of free quantum fields in space-time dimension \(d\geqslant 4\) ⋮ Approach to equilibrium for the stochastic NLS ⋮ Spectral analysis of a quantum harmonic oscillator coupled to infinitely many scalar bosons ⋮ Derivation of the hydrodynamical equation for one-dimensional Ginzburg- Landau model ⋮ Classical boundary conditions as a technical tool in modern mathematical physics ⋮ On the formula of Mathews and Salam ⋮ A triviality result in the AdS/CFT correspondence for Euclidean quantum fields with exponential interaction ⋮ Lowest energy states in nonrelativistic QED: atoms and ions in motion ⋮ On the spectral analysis of quantum field Hamiltonians ⋮ Quantum Liouville theory in the background field formalism. I: Compact Riemann surfaces ⋮ Quantum field theory on curved backgrounds. I: The Euclidean functional integral ⋮ On the ultraviolet stability in statistical mechanics and field theory ⋮ The mathematical foundations of quantum mechanics ⋮ The generalized Fenyes-Nelson model for free scalar field theory ⋮ Ultradistributions and quantum fields: Fourier-Laplace transforms and boundary values of analytic functions ⋮ Some results for the exponential interaction in two or more dimensions ⋮ Local perturbations of conditional expectations ⋮ Stochastic PDEs and lack of regularity: a surface growth equation with noise: existence, uniqueness, and blow-up ⋮ Stability and clustering for lattice many-body quantum Hamiltonians with multiparticle potentials ⋮ Diffusivity bounds for 1D Brownian polymers ⋮ Rigorous results of phase transition theory in lattice boson models ⋮ Superdiffusive bounds on self-repellent Brownian polymers and diffusion in the curl of the Gaussian free field in \(d=2\) ⋮ Some properties of the Itô-Wiener expansion of the solution of a stochastic differential equation and local times ⋮ Topics on abelian spin models and related problems ⋮ Liouville quantum gravity and KPZ ⋮ Large-order estimates for ground-state energy perturbation series ⋮ The hypercontractive approach to exactly bounding an operator with complex Gaussian kernel ⋮ Explaining quantum spontaneous symmetry breaking ⋮ Models and the dynamics of theory-building in physics. I: Modeling strategies ⋮ The symmetry algebras of Euclidean M-theory ⋮ Gaussian random fields, infinite dimensional Ornstein-Uhlenbeck processes, and symmetric Markov processes ⋮ The ground state energy of the massless spin-boson model ⋮ Existence of random gradient states ⋮ Random fields as solutions of the inhomogeneous quaternionic Cauchy- Riemann equation. I: Invariance and analytic continuation ⋮ Asymptotic analysis of a non-linear non-local integro-differential equation arising from bosonic quantum field dynamics ⋮ Strong uniqueness for both Dirichlet operators and stochastic dynamics to Gibbs measures on a path space with exponential interactions ⋮ Gaussian multiplicative chaos and applications: a review ⋮ Self-avoiding fractional Brownian motion -- the Edwards model ⋮ Local Gaussian domination and Bose condensation in lattice boson model ⋮ \(P(\varphi)_{2}\) quantum field theories and Segal's axioms ⋮ A geometric derivation of the linear Boltzmann equation for a particle interacting with a Gaussian random field, using a Fock space approach ⋮ Some comments on rigorous finite-volume Euclidean quantum field path integrals in the analytical regularization scheme ⋮ CLT for \(L^p\) moduli of continuity of Gaussian processes ⋮ The multiscale loop vertex expansion ⋮ Derivation of nonlinear Gibbs measures from many-body quantum mechanics ⋮ On bounded pseudodifferential operators in Wiener spaces ⋮ Ergodicity of \(L^ 2\)-semigroups and extremality of Gibbs states ⋮ Statistical mechanics of the 2-dimensional focusing nonlinear Schrödinger equation ⋮ About systems of fermions with large number of particles: a probabilistic point of view ⋮ The law of the iterated logarithm for the Gaussian free field ⋮ Dirac operators in Boson-Fermion Fock spaces and supersymmetric quantum field theory ⋮ Stochastic differential equations for models of non-relativistic matter interacting with quantized radiation fields ⋮ Stochastic anticipating boundary value problems ⋮ Ergodicity for the stochastic quantization problems on the 2D-torus ⋮ An elementary construction on nonlinear coherent states associated to generalized Bargmann spaces ⋮ Lévy-Ornstein-Uhlenbeck transition semigroup as second quantized operator ⋮ Ground states in the spin Boson model ⋮ Matrix integrals and map enumeration: an accessible introduction ⋮ Large deviations for zeros of \(P(\varphi)_2\) random polynomials ⋮ Harmonic measure and winding of random conformal paths: a Coulomb gas perspective ⋮ Diffusive limits for ``true (or myopic) self-avoiding random walks and self-repellent Brownian polymers in \(d \geq \) 3 ⋮ Markov loops and renormalization ⋮ A Poincaré lemma for connection forms ⋮ On the Markoff property for the free Euclidean electromagnetic field ⋮ Reflection positive stochastic processes indexed by Lie groups ⋮ Euclidean Gibbs measures of interacting quantum anharmonic oscillators ⋮ Boundedness of Riesz transforms for elliptic operators on abstract Wiener spaces ⋮ Gaussian hypercontractivity revisited ⋮ Semi-classical limit of the lowest eigenvalue of a Schrödinger operator on a Wiener space. II: \(P(\phi)_2\)-model on a finite volume ⋮ Sharpness of the normal approximation of functionals of strongly correlated Gaussian random fields ⋮ On generalized Malliavin calculus ⋮ Analyticity of the ground state energy for massless Nelson models ⋮ Elliptic stochastic quantization ⋮ Invariant Gibbs measures for the 2-\(d\) defocusing nonlinear wave equations ⋮ On intrinsic randomness of dynamical systems ⋮ Perturbations of second quantization operators ⋮ Quasi-free quantum stochastic integrals for the CAR and CCR ⋮ Gaussian and non-Gaussian random fields associated with Markov processes ⋮ \({\mathcal P}(\phi)_ 2\) models with variable coefficients ⋮ Leading large order asymptotics for \((\phi ^ 4)_ 2\) perturbation theory ⋮ Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians ⋮ Wiener-Itô decomposition of polynomial operators formed with boson quasi-free fields ⋮ Local and global Markoff fields ⋮ A hierarchical model of quantum anharmonic oscillators: critical point convergence ⋮ Finite dimensional systems of free fermions and diffusion processes on spin groups ⋮ On the construction of Euclidean invariant and reflection positive measures on the cylindrical compactification of distributions ⋮ Along Paths Inspired by Ludwig Streit: Stochastic Equations for Quantum Fields and Related Systems ⋮ Non-Archimedean statistical field theory ⋮ Gibbs Measure for the Focusing Fractional NLS on the Torus ⋮ Unnamed Item ⋮ Existence and a priori estimates for Euclidean Gibbs states ⋮ Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ Remarks on the Gibbs measures for nonlinear dispersive equations ⋮ Ground states and associated path measures in the renormalized Nelson model ⋮ SYSTEMS OF CLASSICAL PARTICLES IN THE GRAND CANONICAL ENSEMBLE, SCALING LIMITS AND QUANTUM FIELD THEORY ⋮ Generation of Spike Trains with Controlled Auto- and Cross-Correlation Functions ⋮ Unnamed Item ⋮ Representation of solutions of evolution equations on a ramified surface by Feynman formulae ⋮ INTERSECTIONS OF MULTICURVES FROM DYNNIKOV COORDINATES ⋮ Renormalization of the two-dimensional stochastic nonlinear wave equations ⋮ The microlocal irregularity of Gaussian noise ⋮ The mean-field limit of quantum Bose gases at positive temperature ⋮ Isometric dilations and 𝐻^{∞} calculus for bounded analytic semigroups and Ritt operators ⋮ Gibbs measures as unique KMS equilibrium states of nonlinear Hamiltonian PDEs ⋮ THE IONESCU–WAINGER MULTIPLIER THEOREM AND THE ADELES ⋮ Two dimensional nonlinear Schrödinger equation with spatial white noise potential and fourth order nonlinearity ⋮ On the variational method for Euclidean quantum fields in infinite volume ⋮ Multiscale coupling and the maximum of \(\mathcal{P}(\phi)_2\) models on the torus ⋮ Multiplicative chaos of the Brownian loop soup ⋮ Symmetries in non-relativistic quantum electrodynamics ⋮ A microscopic derivation of Gibbs measures for the 1D focusing cubic nonlinear Schrödinger equation ⋮ Some Connections Between Stochastic Mechanics, Optimal Control, and Nonlinear Schrödinger Equations ⋮ Stochastic quantization associated with the \(\exp (\boldsymbol{\Phi})_2\)-quantum field model driven by space-time white noise on the torus in the full \(L^1\)-regime ⋮ Singular limits for stochastic equations ⋮ Stochastic Processes in the Decades after 1950 ⋮ Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus ⋮ Stochastic nonlinear wave dynamics on compact surfaces ⋮ On thermodynamic and ultraviolet stability bounds for bosonic lattice QCD models in Euclidean dimensions d = 2,3,4 ⋮ Full derivation of the wave kinetic equation ⋮ Thick points of the planar GFF are totally disconnected for all \(\gamma \neq 0\) ⋮ Universality: random matrices, random geometry and SPDEs. Abstracts from the workshop held May 29 -- June 4, 2022 ⋮ The work of Hugo Duminil-Copin ⋮ Invariance of Gibbs measures under the flows of Hamiltonian equations on the real line ⋮ Construction of free quantum fields on nested fractal space-times ⋮ Invariant Gibbs dynamics for the two-dimensional Zakharov-Yukawa system ⋮ Non-local Markovian symmetric forms on infinite dimensional spaces. II: Applications: non local stochastic quantization of space cut-off quantum fields and infinite particle systems ⋮ Correlation of clusters: Partially truncated correlation functions and their decay ⋮ Unnamed Item ⋮ Mathematical Aspects of Feynman Path Integrals, Divergences, Quantum Fields and Diagrams, and Some More General Reflections ⋮ Log‐Sobolev inequality for the φ24$\varphi ^4_2$ and φ34$\varphi ^4_3$ measures ⋮ Wick powers in stochastic PDEs: an introduction ⋮ The Albeverio-Høegh-Krohn paradox in Nelson stochastic mechanics ⋮ Gaussian correlation inequalities for ferromagnets ⋮ Unnamed Item ⋮ Gibbs Measure Dynamics for the Fractional NLS ⋮ The pressure is independent of the boundary conditions for $P\left( \phi \right)_2$ field theories ⋮ Compositions of states and observables in Fock spaces ⋮ Solving the 4NLS with white noise initial data ⋮ Across the mass hyperboloid ⋮ Concavity of magnetization for a class of even ferromagnets ⋮ Gibbs measures based on 1d (an)harmonic oscillators as mean-field limits ⋮ CHARACTERIZATION OF OPERATORS ON A KONDRATIEV SPACE IN THE NON-GAUSSIAN SETTING: BIORTHOGONAL APPROACH ⋮ A characterization of Osterwalder-Schrader path spaces by the associated semigroup ⋮ Dirichlet forms and diffusion processes on rigged Hilbert spaces ⋮ Gaussian OS-positive processes ⋮ Unnamed Item ⋮ Pathologies of the large-\(N\) limit for \(\mathbb{RP}^{N-1}\), \(\mathbb{CP}^{N-1}\), \(\mathbb{QP}^{N-1}\) and mixed isovector/isotensor \(\sigma\)-models ⋮ \(L^p\)-uniqueness of Schrödinger operators and the capacitary positive improving property ⋮ Quantum field theory on noncommutative spaces ⋮ Generalized Ornstein-Uhlenbeck semigroups: Littlewood-Paley-Stein inequalities and the P. A. Meyer equivalence of norms ⋮ On the Markov property of a class of linear infinitely divisible fields ⋮ Gibbs Random Fields with Unbounded Spins on Unbounded Degree Graphs ⋮ A class of generalized Lévy Laplacians in infinite dimensional calculus ⋮ Weak Poincaré inequalities and \(L^2\)-convergence rates of Markov semigroups ⋮ Random initial conditions for semi-linear PDEs ⋮ Non-central limit theorems for non-linear functional of Gaussian fields ⋮ REMARK ON THE INTEGRATION BY PARTS FORMULA FOR THE $\phi_3^4$-QUANTUM FIELD MODEL ⋮ Hamiltonian renormalisation I: derivation from Osterwalder–Schrader reconstruction ⋮ Hamiltonian renormalisation II. Renormalisation flow of 1+1 dimensional free scalar fields: derivation ⋮ Hamiltonian renormalisation IV. Renormalisation flow of D + 1 dimensional free scalar fields and rotation invariance ⋮ Energy conditional measures and 2D turbulence ⋮ Unnamed Item ⋮ Derivation of renormalized Gibbs measures from equilibrium many-body quantum Bose gases ⋮ Infinite dimensional semiclassical analysis and applications to a model in nuclear magnetic resonance ⋮ On infinitely divisible self-similar random fields ⋮ On the Probabilistic Cauchy Theory for Nonlinear Dispersive PDEs ⋮ Kolmogorov Equations Associated to the Stochastic Two Dimensional Euler Equations ⋮ Unnamed Item ⋮ A concise introduction to quantum field theory ⋮ Quantum field theory in ninety minutes ⋮ Remarks on periodic Jacobi matrices on trees ⋮ The first order expansion of a ground state energy of the ϕ4 model with cutoffs ⋮ Finite dimensional semigroups of unitary endomorphisms of standard subspaces ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ STRONG-COUPLING REGIME IN $g\phi^4_2$ THEORY ⋮ A construction of Euclidean invariant, reflection positive measures on a compactification of distributions ⋮ Mathematical analysis of quantum fields—Historical survey and a new asymptotic perturbation theory ⋮ Quantum duality, unbounded operators, and inductive limits ⋮ Invariant Gibbs measure and global strong solutions for the Hartree NLS equation in dimension three ⋮ Topological Entropy of Surface Braids and Maximally Efficient Mixing ⋮ Dimers and families of Cauchy-Riemann operators I ⋮ Corrected loop vertex expansion for Φ24 theory ⋮ The 𝒫(𝜑)₂ Model on de Sitter Space ⋮ Dominos and the Gaussian free field. ⋮ Invariant measures for generalized Langevin equations in conuclear spaces ⋮ Generalised Brownian motion and second quantisation ⋮ On algebra \(\sharp\)-cones in topological tensor-algebras. I: Basic properties and normality ⋮ Periodic Gibbs states ⋮ Quantum fields and probability ⋮ Flows, coalescence and noise. ⋮ Algebraic methods toward higher-order probability inequalities. II. ⋮ Uniqueness of solutions of the stochastic Navier-Stokes equation with invariant measure given by the enstrophy. ⋮ Euclidean Gibbs measures on loop lattices: existence and a priori estimates. ⋮ Trace operators, Feynman distributions, and multiparameter white noise ⋮ Outperforming the Gibbs sampler empirical estimator for nearest-neighbor random fields ⋮ Quantization of a Hamiltonian system with an infinite number of degrees of freedom ⋮ A remark on non-smoothness of the self-intersection local time of planar Brownian motion ⋮ On algebraic \(\sharp\)-cones in topological tensor algebras. II: Closed hulls and extremal rays ⋮ On a dual pair of spaces of smooth and generalized random variables ⋮ Finite quantum field theory in noncommutative geometry ⋮ Ergodicity for the stochastic dynamics of quasi-invariant measures with applications to Gibbs states ⋮ Quadratic representations of the canonical commutation relations ⋮ On the GNS representation of generalized free fields with indefinite metric ⋮ Wick calculus on spaces of generalized functions of compound Poisson white noise ⋮ Gaussian measures on linear spaces ⋮ Distributions of regular branched prime-fold coverings of surfaces ⋮ On uniqueness of measure-valued solutions to Liouville's equation of Hamiltonian PDEs ⋮ Gibbs measures of nonlinear Schrödinger equations as limits of many-body quantum states in dimensions \({d \leqslant 3}\) ⋮ On unbiased stochastic Navier-Stokes equations ⋮ Elliptic equations and Gaussian processes ⋮ Dilations and Mehler's kernel ⋮ The C*-algebra of the \(n\)-dimensional harmonic oscillator ⋮ Mass renormalization for the \(\lambda\Phi^4\) Euclidean lattice field ⋮ Correlation inequalities and their applications ⋮ Laguerre entire functions and the Lee-Yang property. ⋮ Local time and a particle picture for Euclidean field theory ⋮ Semiclassical limit of the lowest eigenvalue of a Schrödinger operator on a Wiener space. ⋮ Transient and recurrent spectrum ⋮ Statistical mechanics of the nonlinear Schrödinger equation. ⋮ Compactness and the maximal Gibbs state for random Gibbs fields on a lattice ⋮ Stochastic processes associated with KMS states ⋮ Stochastic evolution equations with a spatially homogeneous Wiener process ⋮ A path-space formula for non-Abelian gauge theories ⋮ Brownian surfaces with boundary and Deligne cohomology ⋮ Homogeneous multivariate polynomials with the half-plane property ⋮ On rates of convergence of stochastic relaxation for Gaussian and non- Gaussian distributions ⋮ Strong solutions to the stochastic quantization equations. ⋮ Local times of self-intersection ⋮ A characterization of Hida distributions ⋮ Constructive tensor field theory: the \(T_{4}^{4}\) model ⋮ Feynman formulas for solutions to evolution equations in domains of multidimensional ramified surfaces ⋮ Asymptotic behavior of a functional Gaussian integral ⋮ Construction of a general class of Dirichlet forms in terms of white noise analysis ⋮ Polynomial Weyl representations ⋮ On functional integrals in quantum field theory ⋮ Distributions in CFT. II: Minkowski space ⋮ Dobrushin uniqueness theorem and logarithmic Sobolev inequalities ⋮ Uniqueness of generalized Schrödinger operators and applications ⋮ An invariance result for capacities on Wiener space ⋮ A general class of infinite dimensional Dirac operators and path integral representation of their index ⋮ On clusters of Brownian loops in \(d\) dimensions ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ A functional directional derivative in infinite dimensional spaces and its application to \(\overline{\partial}\)-equations ⋮ Tunneling for spatially cut-off \(P(\phi)_2\)-Hamiltonians ⋮ Invariance of white noise for KdV on the line ⋮ Self-intersection local time of order \(k\) for Gaussian processes in \({\mathcal S}^ \prime (\mathbb R^ {d})\). ⋮ Thermal quantum fields with spatially cutoff interactions in 1+1 space--time dimensions ⋮ The connection between an Euclidean Gauss Markov vector field and the Real Proca Wightman field ⋮ Euclidean field theory. I: The moment problem ⋮ On scaling limits and Brownian interlacements ⋮ The bound state of weakly coupled Schrödinger operators in one and two dimensions ⋮ Singular perturbations of positivity preserving semigroups via path space techniques ⋮ Stochastic quantization associated with the \(\exp(\Phi)_2\)-quantum field model driven by space-time white noise on the torus ⋮ Sharp tunneling estimates for a double-well model in infinite dimension ⋮ Schwinger functions and their generating functionals. II. Markovian and generalized path space measures on \(\mathcal S'\) ⋮ A PDE construction of the Euclidean \(\Phi^4_3\) quantum field theory ⋮ Remark on generalized Markov processes ⋮ Classical field theory limit of many-body quantum Gibbs states in 2D and 3D ⋮ Renormalization group limits for Wick polynomials of Gaussian processes ⋮ The semigroup characterization of Osterwalder-Schrader path spaces and the construction of Euclidean fields ⋮ The Glimm-Jaffe-Spencer expansion for the classical boundary conditions and coexistence of phases in the \(\lambda\varphi^4_2\) Euclidean (quantum) field theory ⋮ Wiener path intersections and local time ⋮ Harmonic analysis in infinite dimension ⋮ Classical equations of Euclidean field theory ⋮ Nonsymmetric Ornstein-Uhlenbeck semigroups in Banach spaces ⋮ \(H\)-separable rings and their Hopf-Galois extensions ⋮ Classical Dirichlet forms on topological vector spaces --- closability and a Cameron-Martin formula ⋮ Equilibrium distribution of charged particles in the phase space of a cyclic accelerator ⋮ Method for approximate evaluation of path integrals using perturbation theory with convergent series. II: Euclidean quantum field theory ⋮ Statistical mechanics of the nonlinear Schrödinger equation ⋮ Federbush mode decomposition of \(\phi ^ 4_ 2\) ⋮ \(L^ 1\)-properties of intrinsic Schrödinger semigroups ⋮ Ultracoherence in Bose algebras ⋮ Random walk representations of the Heisenberg model ⋮ Path integral representation of the index of Kähler-Dirac operators on an infinite dimensional manifold ⋮ From stochastic differential equation to quantum field theory ⋮ Euclidean quantum vector fields. ⋮ The GHS inequality for a large external field ⋮ The notion of convexity and concavity on Wiener space ⋮ Two-dimensional Navier-Stokes equations driven by a space-time white noise ⋮ \(H\)-\(C^1\) maps and elliptic SPDEs with polynomial and exponential perturbations of Nelson's Euclidean free field ⋮ Universal estimate of the gap for the Kac operator in the convex case ⋮ Gaussian linear operators ⋮ Sergio's work in statistical mechanics: from quantum particles to geometric stochastic analysis ⋮ Computing equivalence classes of finite group actions on orientable surfaces ⋮ Large \(N\) limit of the \(O(N)\) linear sigma model via stochastic quantization ⋮ Path integral for quantum Mabuchi K-energy ⋮ Tightness of the solutions to approximating equations of the stochastic quantization equation associated with the weighted exponential quantum field model on the two-dimensional torus ⋮ Invariant Gibbs measures for the three-dimensional wave equation with a Hartree nonlinearity. I: measures ⋮ Probability and Quantum Symmetries. II. The Theorem of Nœther in quantum mechanics ⋮ Canonical quantization of lattice Higgs-Maxwell-Chern-Simons fields: Krein Self-adjointness ⋮ Random tensors, propagation of randomness, and nonlinear dispersive equations ⋮ An explicit realization of a GNS representation in a Krein-space ⋮ Position dependent non-linear Schrödinger hierarchies: involutivity, commutation relations, renormalisation and classical invariants ⋮ Gaussian free fields and Riemannian rigidity ⋮ On distribution free Skorokhod-Malliavin calculus ⋮ Probabilistic local well-posedness for the Schrödinger equation posed for the Grushin Laplacian ⋮ Constructive tensor field theory: the \({T^4_3}\) model ⋮ Noncommutative random variables and spectral problems in free product \(C^*\)-algebras ⋮ On the collision local time of fractional Brownian motions ⋮ A phase transition in a quantum crystal with asymmetric potentials ⋮ Probabilistic local Cauchy theory of the cubic nonlinear wave equation in negative Sobolev spaces ⋮ Continuity properties of the semi-group and its integral kernel in non-relativistic QED ⋮ Critical exponents from the resummed effective potential of the \(({\frac{g}{4}}\phi^{4}-j\phi)_{1+1}\) scalar field theory ⋮ FKN formula and ground state energy for the spin boson model with external magnetic field ⋮ Restricted Markov uniqueness for the stochastic quantization of \(P(\Phi)_{2}\) and its applications ⋮ Capacities, removable sets and \(L^p\)-uniqueness on Wiener spaces ⋮ First passage sets of the 2D continuum Gaussian free field ⋮ Formal and physical equivalence in two cases in contemporary quantum physics ⋮ Quasi-invariant Gaussian measures for the two-dimensional defocusing cubic nonlinear wave equation ⋮ Topics of measure theory on infinite dimensional spaces ⋮ The first passage sets of the 2D Gaussian free field: convergence and isomorphisms ⋮ A second-quantized Kolmogorov-Chentsov theorem via the operator product expansion ⋮ Gradient estimates and maximal dissipativity for the Kolmogorov operator in \(\Phi^4_2\) ⋮ Asymptotically free solutions of the scalar mean field flow equations ⋮ Weyl calculus in Wiener spaces and in QED ⋮ On the probabilistic well-posedness of the two-dimensional periodic nonlinear Schrödinger equation with the quadratic nonlinearity \(|u|^2\) ⋮ Wedge domains in non-compactly causal symmetric spaces ⋮ A path-integral analysis of interacting Bose gases and loop gases ⋮ Construction of \(p\)-adic covariant quantum fields in the framework of white noise analysis ⋮ \(p\)-adic statistical field theory and deep belief networks ⋮ New method for optimal nonlinear filtering of noisy observations by multiple stochastic fractional integral expansions ⋮ Functional integral representations of the Pauli-Fierz model with spin 1/2 ⋮ A remark on triviality for the two-dimensional stochastic nonlinear wave equation ⋮ Weyl calculus in QED I. The unitary group ⋮ Harnack inequality on configuration spaces: the coupling approach and a unified treatment ⋮ Properties of the distributional finite Fourier transform ⋮ PHASE TRANSITIONS AND QUANTUM STABILIZATION IN QUANTUM ANHARMONIC CRYSTALS ⋮ Transition amplitudes and sewing properties for bosons on the Riemann sphere ⋮ Thermal stability of the Nagaoka-Thouless theorems ⋮ On the stochastic nonlinear Schrödinger equations with nonsmooth additive noise ⋮ Renormalization of tensorial group field theories: abelian \(\mathrm U(1)\) models in four dimensions ⋮ Perturbation theory series in quantum mechanics: phase transition and exact asymptotic forms for the expansion coefficients ⋮ Functional integral approach to semi-relativistic Pauli-Fierz models ⋮ A note on the applications of Wick products and Feynman diagrams in the study of singular partial differential equations ⋮ Sample path properties of fractional Riesz–Bessel field of variable order ⋮ STOCHASTIC NONLINEAR SCHRÖDINGER EQUATION WITH ALMOST SPACE–TIME WHITE NOISE ⋮ Pseudodifferential analysis, quantum mechanics and relativity ⋮ On renormalized Hamiltonian nets ⋮ New directions in rough path theory. Abstracts from the workshop held December 6--12, 2020 (online meeting) ⋮ Fiber Hamiltonians in non-relativistic quantum electrodynamics ⋮ Stochastic quantization of nonlocal fields ⋮ Nets of standard subspaces on Lie groups ⋮ Conservative stochastic two-dimensional Cahn-Hilliard equation ⋮ Realizability of point processes ⋮ Non-local Markovian symmetric forms on infinite dimensional spaces. I: The closability and quasi-regularity ⋮ Stability and related properties of vacua and ground states ⋮ GEOMETRY OF QUASI-FREE STATES OF CCR ALGEBRAS ⋮ Schrödinger semigroups ⋮ Mean-field driven first-order phase transitions in systems with long-range interactions ⋮ Product formula and independence criterion for multiple Huang-Cambanis integrals ⋮ SLE and the free field: Partition functions and couplings ⋮ ON THE DOMAIN OF NONSYMMETRIC ORNSTEIN–UHLENBECK OPERATORS IN BANACH SPACES ⋮ Unitarizability, Maurey-Nikishin factorization, and Polish groups of finite type ⋮ PAULI–FIERZ MODEL WITH KATO-CLASS POTENTIALS AND EXPONENTIAL DECAYS ⋮ Spectral gap for measure-valued diffusion processes ⋮ Global well posedness of the two-dimensional stochastic nonlinear wave equation on an unbounded domain ⋮ A unified approach to infinite-dimensional integration ⋮ Comparing the stochastic nonlinear wave and heat equations: a case study ⋮ Almost conservation laws for stochastic nonlinear Schrödinger equations ⋮ Unnamed Item ⋮ Standard subspaces of Hilbert spaces of holomorphic functions on tube domains ⋮ Gibbs Measures of Nonlinear Schrödinger Equations as Limits of Quantum Many-Body States in Dimension d ≤ 3 ⋮ Compactness of molecular reaction paths in quantum mechanics ⋮ HIDA DISTRIBUTION CONSTRUCTION OF NON-GAUSSIAN REFLECTION POSITIVE GENERALIZED RANDOM FIELDS ⋮ Wick polynomials and time-evolution of cumulants ⋮ A Pedestrian approach to the invariant Gibbs measures for the 2-\(d\) defocusing nonlinear Schrödinger equations ⋮ Unnamed Item ⋮ Quasilattice approximation of statistical systems with strong superstable interactions: Correlation functions ⋮ A microscopic derivation of time-dependent correlation functions of the \(1D\) cubic nonlinear Schrödinger equation ⋮ The elliptic stochastic quantization of some two dimensional Euclidean QFTs ⋮ Stability of ferromagnetism in many-electron systems ⋮ Clark representation for local times of self-intersection of Gaussian integrators ⋮ Reflection negative kernels and fractional Brownian motion ⋮ Markov processes and random fields ⋮ Feynman graph representation of the perturbation series for general functional measures ⋮ Three-dimensional stochastic cubic nonlinear wave equation with almost space-time white noise ⋮ Planar Ising magnetization field. I: Uniqueness of the critical scaling limit ⋮ The dialectics archetypes/types (universal categorical constructions/concrete models) in the work of Alexander Grothendieck ⋮ The semiclassical limit of Liouville conformal field theory ⋮ On the two-dimensional singular stochastic viscous nonlinear wave equations ⋮ Some applications of the Lee-Yang theorem ⋮ Brownian motions on metric graphs ⋮ Unnamed Item ⋮ Semiclassical limit of Liouville field theory