Ultraviolet Stability for QED in d=3

2020/09/02 by J. Dimock, Dimock, J. · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Mathematical Physics (math-ph) #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2009.01156

openalex publication_date 2020/09/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We continue the study of the ultraviolet problem for QED in d=3 using Balaban's formulation of the renormalization group. The model is defined on a fine toroidal lattice and we seek control as the lattice spacing goes to zero. Drawing on earlier papers in the series the renormalization group flow is completely controlled for weak coupling. The main result is an ultraviolet stability bound in a fixed finite volume.

Citations

• Nonperturbative renormalization of scalar QED in d=3

Cited by

• On Charge Conjugation, Correlations, Elitzur's Theorem and the Mass Gap Problem in Lattice SU(N) Yang-Mills Models in d=4 Dimensions

Related

• Ultraviolet regularity for QED in d=3
• Multiscale block averaging for QED in d=3
• Nonperturbative renormalization of scalar QED in d=3
• Quantum electrodynamics on the 3-torus -I
• Constructive Quantum Field Theory