English

Ultraviolet Stability for QED in d=3

Mathematical Physics 2021-07-29 v2 High Energy Physics - Lattice math.MP

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.

Keywords

Cite

@article{arxiv.2009.01156,
  title  = {Ultraviolet Stability for QED in d=3},
  author = {J. Dimock},
  journal= {arXiv preprint arXiv:2009.01156},
  year   = {2021}
}

Comments

78 pages - minor changes

R2 v1 2026-06-23T18:16:19.525Z