A Perspective on Constructive Quantum Field Theory

2012/03/18 by Stephen J. Summers, Summers, Stephen J. · 8 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1203.3991

Updated, 60 pages ; This is an expanded version of an article commissioned for UNESCO's Encyclopedia of Life Support Systems (EOLSS)

openalex publication_date 2012/03/18 · arxiv created 2016/03/30 · arxiv updated 2016/03/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An overview of the accomplishments of constructive quantum field theory is provided.

Citations

• Gauge Theories as a Problem of Constructive Quantum Field Theory and Statistical Mechanics
• On te Algebra of All Local Observables
• Representation Theory of Analytic Holonomy C* Algebras

Cited by

• Non-perturbative renormalization: a new way
• A Numerical Treatment of Energy Eigenvalues of Harmonic Oscillators\n Perturbed by a Rational Function
• General Slit Stochastic Löwner Evolution and Conformal Field Theory
• On Thermodynamic and Ultraviolet Stability of Bosonic Lattice QCD Models in Euclidean Spacetime Dimensions d=2,3,4
• Théorèmes de de Finetti, limites de champ moyen et condensation de Bose-Einstein
• Limites de champ moyen bosoniques à température positive
• Ultraviolet regularity for QED in d=3
• Multi-particle quantum fields for bound states and interactions

Related

• Mode d'emploi de la théorie constructive des champs bosoniques (A user's guide to bosonic constructive field theory)
• Constructive physics
• Constructive Quantum Field Theory
• Euclidean Field Theory
• A Field-Theory Action for the Constructive Standard Model