A renormalizable field theory: The massive Gross-Neveu model in two dimensions
From MaRDI portal
Publication:1077059
DOI10.1007/BF01464282zbMath0594.58060MaRDI QIDQ1077059
Joel Feldman, Roland Sénéor, Jacques Magnen, Vincent Rivasseau
Publication date: 1986
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
perturbation theoryrenormalizationPauli principlefield theoryOsterwalder-Schrader axiomsEuclidean massive Gross-Neveu model
Axiomatic quantum field theory; operator algebras (81T05) Renormalization group methods applied to problems in quantum field theory (81T17) Applications of PDEs on manifolds (58J90)
Related Items (54)
Polymers in a weak random potential in dimension four: Rigorous renormalization group analysis ⋮ A renormalizable field theory: The massive Gross-Neveu model in two dimensions ⋮ Why the Thirring model cannot fulfill canonical anticommutation relations ⋮ Nonperturbative Adler-Bardeen theorem ⋮ Renormalization group approach to lattice gauge field theories. I: Generation of effective actions in a small field approximation and a coupling constant renormalization in four dimensions ⋮ Functional integral via functional equation ⋮ Clustering bounds on \(n\)-point correlations for unbounded spin systems ⋮ Mass generation in the large \(N\) Gross-Neveu-model ⋮ Unnamed Item ⋮ Functional integral construction of the massive Thirring model: verification of axioms and massless limit ⋮ Fixed points of renormalization group for the hierarchical fermionic model ⋮ Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions ⋮ Constructive renormalization for interacting fermions ⋮ Perturbative Renormalization by Flow Equations ⋮ The short distance behavior of \((\Phi^ 4_ 3)\) ⋮ The \(1/N\)-expansion as a perturbation about the mean field theory: A one-dimensional Fermi model ⋮ Renormalization group in a fermionic hierarchical model ⋮ Asymptotically free solutions of the scalar mean field flow equations ⋮ Asymptotic freedom in the BV formalism ⋮ Renormalization in condensed matter: fermionic systems - from mathematics to materials ⋮ Action principle for OPE ⋮ Renormalization group and asymptotic spin-charge separation for chiral Luttinger liquids ⋮ Resurgent transseries \& Dyson-Schwinger equations ⋮ Fermionization, convergent perturbation theory, and correlations in the Yang-Mills quantum field theory in four dimensions ⋮ Scaled lattice fermion fields, stability bounds, and regularity ⋮ A Lipatov bound for \(\Phi^4_4\) Euclidean field theory ⋮ Bounds on completely convergent Euclidean Feynman graphs ⋮ A renormalization group proof of perturbative renormalizability ⋮ The ground state energy of the massless spin-boson model ⋮ A new perturbative expansion for fermionic functional integrals ⋮ Renormalization group analysis of a simple hierarchical fermion model ⋮ Constructive tensor field theory: the \(T_{4}^{4}\) model ⋮ Quantum diffusion of the random Schrödinger evolution in the scaling limit ⋮ Constructive field theory and applications: Perspectives and open problems ⋮ A complete renormalization group trajectory between two fixed points ⋮ LUTTINGER MODEL AND LUTTINGER LIQUIDS ⋮ Developments in the theory of universality ⋮ Renormalizing the renormalization group pathologies ⋮ Analytic calculation of the 1-loop effective action for the O(N+1)-symmetric 2-dimensional nonlinear \(\sigma{}\)-model ⋮ Renormalization group for one-dimensional fermions. A review on mathematical results ⋮ Intermediate field representation for positive matrix and tensor interactions ⋮ Gentle introduction to rigorous renormalization group: a worked fermionic example ⋮ BOREL SUMMABILITY OF $\varphi^{4}_4$ PLANAR THEORY VIA MULTISCALE ANALYSIS ⋮ One-baryon spectrum and analytical properties of one-baryon dispersion curves in 3 + 1 dimensional strongly coupled lattice QCD with three flavors ⋮ Unnamed Item ⋮ Continuum limit in the fermionic hierarchical model ⋮ Unnamed Item ⋮ Block renormalization group for Euclidean fermions ⋮ A simple method for correlation functions via the effective actions in the renormalization group framework ⋮ Global renormalization group flow and thermodynamic limit for the hierarchical fermionic model ⋮ Critical exponents, hyperscaling, and universal amplitude ratios for two- and three-dimensional self-avoiding walks. ⋮ Construction of \(Y M_ 4\) with an infrared cutoff ⋮ Euclidean Majorana fermions, fermionic integrals, and relative Pfaffians ⋮ Beta function and Schwinger functions for a many fermions system in one dimension. Anomaly of the Fermi surface
Cites Work
- Bounds on completely convergent Euclidean Feynman graphs
- Convergent perturbation expansions for Euclidean quantum field theory
- A renormalizable field theory: The massive Gross-Neveu model in two dimensions
- Perturbation theory and nonrenormalizable scalar fields
- Convergence of Bogoliubov's method of renormalization in momentum space
- An improvement of Watson’s theorem on Borel summability
- Unnamed Item
This page was built for publication: A renormalizable field theory: The massive Gross-Neveu model in two dimensions
