Gauge Theories as a Problem of Constructive Quantum Field Theory and Statistical Mechanics

1982/01/01 by Erhard Seiler · 1 voice · 19 citations
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Advanced Thermodynamics and Statistical Mechanics #Quantum Mechanics and Applications

paper · doi:10.1007/3-540-11559-5

crossref issued 1982/01/01 · crossref published 1982/01/01 · crossref published-print 1982/01/01 · openalex publication_date 1982/01/01 · crossref created 2008/04/06 · crossref deposited 2019/04/04 · crossref indexed 2025/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/02

Cited by

• Left and right convergence of graphs with bounded degree
• The Ultraviolet Structure of Quantum Field Theories. Part 2: What is Quantum Field Theory?
• A Perspective on Constructive Quantum Field Theory
• Projective limits in Euclidean quantum field theory, II: Abelian gauge theory
• Statistical mechanical methods in particle structure analysis of lattice field theories
• Breakdown of the Action Method in Gauge Theories
• Quantum Yang-Mills Charges in Strongly Coupled 2D Lattice QCD with Three Flavors
• Spontaneous symmetry breakdown in the abelian Higgs model
• Correlation decay for U(1) lattice Higgs theory: the case of small mass
• The low-lying energy-momentum spectrum for the four-Fermi model on a lattice
• Dirac and the Path Integral
• Application of Tomita-Takesaki theory in algebraic euclidean field theories
• High-density hard-core model on triangular and hexagonal lattices
• Neumann domination for the Yang-Mills heat equation
• Lattice Gauge Theories
• A state space for 3D Euclidean Yang-Mills theories
• Exploring the 3D Ising gauge-Higgs model in exact Coulomb gauge and with a gauge-invariant substitute for Landau gauge
• Topological terms in abelian lattice field theories
• Self-dual and anti-self-dual solutions of discrete Yang-Mills equations on a double complex

Discussions

• Just to clarify formalism, a correlation functions of a Wightman field theory cannot arise from a measure. Measures describe classical probability theories, whereas a Wightman field is noncommutative. [stackexchange, 4 points]