Ultraviolet problems in field theory and multiscale expansions

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Renormalization group methods applied to problems in quantum field theory (81T17)

Cites Work

On the massive sine-Gordon equation in the higher regions of collapse
Bounds on completely convergent Euclidean Feynman graphs
Convergent perturbation expansions for Euclidean quantum field theory
Renormalization of the Higgs model: Minimizers, propagators and the stability of mean field theory
Regularity and decay of lattice Green's functions
Geometric analysis of \(\phi^ 4\) fields and Ising models. I, II
The infrared behaviour of \((\nabla \Phi)^ 4_ 3\)
Non-Gaussian fixed points of the block spin transformation. Hierarchical model approximation
A phase cell approach to Yang-Mills theory. V: Analysis of a chunk
Non-Gaussian \(\alpha\)-positivity of \(\phi^{2n}_d\) field theories
Leading large order asymptotics for \((\phi ^ 4)_ 2\) perturbation theory
Convergence of \(\text{U}(1)_ 3\) lattice gauge theory to its continuum limit
The intersection of Brownian paths as a case study of a renormalization group method for quantum field theory
Improved perturbation expansion for disordered systems: Beating Griffiths singularities
The reciprocal of a Borel summable function is Borel summable
Axioms for renormalization in Euclidean quantum field theory
Propagators and renormalization transformations for lattice gauge theories. I
Propagators and renormalization transformations for lattice gauge theories. II
Averaging operations for lattice gauge theories
Spaces of regular gauge field configurations on a lattice and gauge fixing conditions
Propagators for lattice gauge theories in a background field
The mass gap for Higgs models on a unit lattice
Borel summability of the perturbation series in a hierarchical \(\lambda (\nabla \Phi)^ 4\) model
Ultraviolet stability of three-dimensional lattice pure gauge field theories
On the ultraviolet stability in statistical mechanics and field theory
Ultraviolet stability in Euclidean scalar field theories
On Edwards' model for long polymer chains
Elliptic equations and Gaussian processes
On Edwards' model for polymer chains. II: The self-consistent potential
Continuum limit of \(QED_ 2\) on a lattice
On the massive sine-Gordon equation in the first few regions of collapse
On Edwards' model for polymer chains. III. Borel summability
A lower bound for the mass of a random Gaussian lattice
Some probabilistic techniques in field theory
Uniform cluster estimates for lattice models
The Wightman axioms for the fermionic Federbush model
Yukawa coupling of quantum fields in two dimensions. I
Boson fields with the \(:\Phi^ 4:\) interaction in three dimensions
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