Quantum field theory on noncommutative spaces
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Publication:5896099
DOI10.1007/978-3-030-29597-4_11zbMath1482.81038OpenAlexW2999481420MaRDI QIDQ5896099
Publication date: 3 July 2020
Published in: Advances in Noncommutative Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-29597-4_11
Model quantum field theories (81T10) Axiomatic quantum field theory; operator algebras (81T05) Constructive quantum field theory (81T08) Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry in quantum theory (81R60) Locally convex Fréchet spaces and (DF)-spaces (46A04)
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Uses Software
Cites Work
- On the fixed point equation of a solvable 4D QFT model
- Geometry and the quantum: basics
- Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
- Noncommutative geometry of the Moyal plane: translation isometries, Connes' distance on coherent states, Pythagoras equality
- 8D-spectral triple on 4D-Moyal space and the vacuum of noncommutative gauge theory
- Compact \(\kappa \)-deformation and spectral triples
- Colored tensor models -- a review
- Exact solution of quantum field theory on noncommutative phase spaces
- Duality covariant quantum field theory on noncommutative Minkowski space
- Noncommutative deformations of Wightman quantum field theories
- Wedge-local quantum fields and noncommutative Minkowski space
- Emergent gravity, matrix models and UV/IR mixing
- Emergent gravity from noncommutative gauge theory
- A new matrix model for noncommutative field theory
- Renormalizable models in rank \({d \geq 2}\) tensorial group field theory
- The multiscale loop vertex expansion
- Towards large genus asymptotics of intersection numbers on moduli spaces of curves
- Topological graph polynomial and quantum field theory. II: Mehler kernel theories
- Warped convolutions, Rieffel deformations and the construction of quantum field theories
- Colored group field theory
- Divergences in quantum field theory on the noncommutative two-dimensional Minkowski space with Grosse-Wulkenhaar potential
- The \(1/N\) expansion of colored tensor models
- Topological quantum field theories
- Tree quantum field theory
- Schwinger functions in noncommutative quantum field theory
- Free energy topological expansion for the 2-matrix model
- Critical behavior of colored tensor models in the large \(N\) limit
- Gravity coupled with matter and the foundation of non-commutative geometry
- Field theory on the \(q\)-deformed fuzzy sphere. II: Quantization
- Time-ordered perturbation theory on non-commutative spacetime. Basic rules
- Time-ordered perturbation theory on non-commutative spacetime. II: Unitarity
- Moyal planes are spectral triples
- Two- and three-loop beta function of non-commutative \(\Phi_4^4\) theory
- Vanishing of beta function of non-commutative \(\Phi_4^4\) theory to all orders
- Proof of the Bogoliubov-Parasiuk theorem on renormalization
- The Hausdorff-Bernstein-Widder theorem for semi-groups in locally compact Abelian groups
- Über die Multiplikation der Kausalfunktionen in der Quantentheorie der Felder
- Remodeling the B-model
- A translation-invariant renormalizable non-commutative scalar model
- Renormalisation of noncommutative \(\phi^4\)-theory by multi-scale analysis
- Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces
- Propagators for noncommutative field theories
- Renormalization of the noncommutative \(\phi^3\) model through the Kontsevich model
- Exact renormalization of a noncommutative \(\phi^3\) model in 6 dimensions
- Counting surfaces. CRM Aisenstadt chair lectures
- Noncommutative induced gauge theory
- The \(\beta \)-function in duality-covariant non-commutative \(f^{4}\phi^4\) -theory
- Divergencies in a field theory on quantum space.
- Invariants of algebraic curves and topological expansion
- Ward identities and vanishing of the beta function for \(d=1\) interacting Fermi systems
- Spectral action on \(\mathrm{SU}_q(2)\)
- Topological quantum field theory
- Construction of a unique self-adjoint generator for a symmetric local semigroup
- Intersection theory on the moduli space of curves and the matrix Airy function
- Polynomial averages in the Kontsevich model
- Three integrable Hamiltonian systems connected with isospectral deformations
- Axioms for Euclidean Green's functions. II
- On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
- Deformation theory and quantization. I: Deformations of symplectic structures
- Deformation theory and quantization. II: Physical applications
- Hopf algebras, renormalization and noncommutative geometry
- On the Hopf algebra strucutre of perturbative quantum field theories
- Hopf algebras, cyclic cohomology and the transverse index theorem
- Noncommutative geometry and the regularization problem of 4D quantum field theory
- Non-commutative Lorentz symmetry and the origin of the Seiberg-Witten map
- On finite 4D quantum field theory in non-commutative geometry
- The spectral action principle
- Space/time non-commutative field theories and causality
- Exact solution of noncommutative field theory in background magnetic fields
- Unitarity of time-like noncommutative gauge theories: the violation of Ward identities in time-ordered perturbation theory
- The generally covariant locality principle -- a new paradigm for local quantum field theory
- Ultraviolet finite quantum field theory on quantum spacetime
- Graphs on surfaces and their applications. Appendix by Don B. Zagier
- The action functional for Moyal planes
- Quantized gauge theory on the fuzzy sphere as random matrix model
- Noncommutative Yang-Mills in IIB matrix model
- A path integral approach to the Kontsevich quantization formula.
- Enveloping algebra-valued gauge transformations for non-abelian gauge groups on non-commutative spaces
- D-branes and the noncommutative torus
- Noncommutative geometry and matrix theory: Compactification on tori
- String theory and noncommutative geometry
- Non-commutative world-volume geometries: branes on SU(2) and fuzzy spheres
- D-branes and deformation quantization
- Finite \(N\) Matrix models of noncommutative gauge theory
- One loop renormalizability of supersymmetric Yang-Mills theories on noncommutative two-torus
- Fuzzy \({\mathbb C}P^2\).
- Exact solution of matricial \(\Phi_2^3\) quantum field theory
- The \(\Phi_4^3\) and \(\Phi_6^3\) matricial QFT models have reflection positive two-point function
- Reflection positivity. Abstracts from the workshop held November 26 -- December 2, 2017
- Renormalisation of \(\phi^4\)-theory on noncommutative \(\mathbb R^{4}\) in the matrix base
- On the Lambert \(w\) function
- On Hirota's difference equations
- Quantisation of \(\theta\)-expanded non-commutative QED
- Planar diagrams
- Deformation quantization of Poisson manifolds
- Noncommutative heat kernel
- Finite quantum field theory in noncommutative geometry
- The quantum structure of spacetime of the Planck scale and quantum fields
- A renormalizable 4-dimensional tensor field theory
- Lambert-W solves the noncommutative \(\Phi^4\)-model
- Renormalization of quantum field theories on non-commutative \(\mathbb{R}^d\). I: Scalars
- Two-loop diagrams in noncommutative \(\phi_ 4^ 4\) theory.
- Chen's iterated integral represents the operator product expansion
- Perturbative analysis on infrared aspects of noncommutative QED on \(\mathbb R^ 4\).
- The IR/UV connection in non-commutative gauge theories
- Space-time noncommutative field theories and unitarity
- Renormalization of non-commutative U\((N)\) gauge theories
- Non-commutative world-volume interactions on D-brane and Dirac-Born-Infeld action.
- Noncommutative gauge theory on fuzzy sphere from matrix model
- Nonabelian noncommutative gauge theory via noncommutative extra dimensions
- Phase structure of non-commutative scalar field theories
- From large \(N\) matrices to the noncommutative torus
- Field theory on the \(q\)-deformed fuzzy sphere. I.
- Introduction to M(atrix) theory and noncommutative geometry
- The standard model on non-commutative space-time
- Duality in scalar field theory on noncommutative phase spaces
- On the unitarity problem in space/time noncommutative theories
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Large N reduction with the twisted Eguchi-Kawai model
- Solution of the self-dual \(\Phi^4\) QFT-model on four-dimensional Moyal space
- Self-dual noncommutative \(\phi^4\)-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory
- Axioms for Euclidean Green's functions
- Topological graph polynomials and quantum field theory. I: Theory kernel theories
- Renormalization of the orientable non-commutative Gross-Neveu model
- Constructive renormalization of the 2-dimensional Grosse-Wulkenhaar model
- Constructive \(\phi^{4}\) field theory without tears
- The complete \(1/N\) expansion of colored tensor models in arbitrary dimension
- Spectral geometry of the Moyal plane with harmonic propagation
- Parametric representation of noncommutative field theory
- Quantum field theory on projective modules
- Spectral action on noncommutative torus
- The \(1/N\) expansion of tensor models beyond perturbation theory
- Invariants of spectral curves and intersection theory of moduli spaces of complex curves
- Über die Einbettung der nuklearen Räume in \((s)^ A\)
- On quadratic differentials with closed trajectories and second order poles
- Convergence of Bogoliubov's method of renormalization in momentum space
- Construction of quantum fields from Markoff fields
- Power-counting theorem for non-local matrix models and renormalisation
- Field theories on deformed spaces
- FINITE FIELD THEORY ON NONCOMMUTATIVE GEOMETRIES
- PROPERTIES OF HERMITIAN MATRIX MODELS IN AN EXTERNAL FIELD
- THREE-DIMENSIONAL SIMPLICIAL QUANTUM GRAVITY AND GENERALIZED MATRIX MODELS
- POISSON STRUCTURE INDUCED (TOPOLOGICAL) FIELD THEORIES
- The tensor track, III
- Random Tensors
- Constructive renormalization for $\Phi ^{4}_2$Φ24 theory with loop vertex expansion
- CUT-AND-JOIN OPERATOR REPRESENTATION FOR KONTSEVICH–WITTEN TAU-FUNCTION
- The spectral action for Moyal planes
- Reflection Positivity
- Quantum Field Theory in Terms of Vacuum Expectation Values
- Quantum Field Theories with Composite Particles and Asymptotic Conditions
- Euclidean Quantum Electrodynamics
- Translation-invariant models for non-commutative gauge fields
- On the problem of renormalizability in non‐commutative gauge field models – a critical review
- Emergent geometry and gravity from matrix models: an introduction
- Warped Convolutions: A Novel Tool in the Construction of Quantum Field Theories
- Algebras of distributions suitable for phase-space quantum mechanics. I
- Algebras of distributions suitable for phase-space quantum mechanics. II. Topologies on the Moyal algebra
- Combinatorial and algebro-geometric cohomology classes on the moduli spaces of curves
- The fuzzy sphere
- ON THE ULTRAVIOLET BEHAVIOR OF QUANTUM FIELDS OVER NONCOMMUTATIVE MANIFOLDS
- Deformation quantization for actions of 𝑅^{𝑑}
- Unitary quantum field theory on the noncommutative Minkowski space
- Non‐commutative field theories beyond perturbation theory
- Gromov-Hausdorff distance for quantum metric spaces
- Multiple $\zeta$-motives and moduli spaces $\overline{\mathcal{M}}_{0,n}$
- Necessary and Sufficient Conditions for the Representation of a Function as a Laplace Integral
- On the Quantum Correction For Thermodynamic Equilibrium
- PERTURBATIVE QUANTUM GAUGE FIELDS ON THE NONCOMMUTATIVE TORUS
- Nonperturbative two-dimensional quantum gravity
- One-Loop UV Divergent Structure of U(1) Yang-Mills Theory on Noncommutative<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ℝ</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mi /></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>
- COMBINATORICS OF THE MODULAR GROUP II THE KONTSEVICH INTEGRALS
- Topological structures in string theory
- PERTURBATIVE ANALYSIS OF THE SEIBERG–WITTEN MAP
- [https://portal.mardi4nfdi.de/wiki/Publication:4757506 �ber die Unanwendbarkeit der Geometrie im Kleinen]
- Noncommutative geometry and reality
- Multiple Zeta Values and Modular Forms in Quantum Field Theory
- Corrected loop vertex expansion for Φ24 theory
- SLAVNOV–TAYLOR IDENTITY IN NONCOMMUTATIVE GEOMETRY
- Wick rotation for quantum field theories on degenerate Moyal space(-time)
- An Algebraic Approach to Quantum Field Theory
- Inductive Limits of Finite Dimensional C ∗ -Algebras
- The Electromagnetic Shift of Energy Levels
- On Distributions of Certain Wiener Functionals
- Quantized Space-Time
- Space-Time Approach to Quantum Electrodynamics
- On the principles of elementary quantum mechanics
- Geons
- Noncommutative field theory
- Induced gauge theory on a noncommutative space
- Quantum field theory on noncommutative spaces
- Noncommutative perturbative dynamics
