Ultraviolet Stability for QED in d= 3

J. Dimock

doi:10.1007/s00023-021-01127-z

Ultraviolet Stability for QED in d= 3

J. Dimock

Mathematics

University at Buffalo

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Pages (from-to)	2113-2205
Number of pages	93
Journal	Annales Henri Poincare
Volume	23
Issue number	6
DOIs	https://doi.org/10.1007/s00023-021-01127-z
State	Published - Jun 2022

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title = "Ultraviolet Stability for QED in d= 3",

abstract = "We continue the study of the ultraviolet problem for QED in d= 3 using Balaban{\textquoteright}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.",

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AB - 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.

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DO - 10.1007/s00023-021-01127-z

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VL - 23

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EP - 2205

JO - Annales Henri Poincare

JF - Annales Henri Poincare

IS - 6

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Ultraviolet Stability for QED in d= 3

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