A renormalization group analysis of infrared QED

J. Dimock; T. R. Hurd

doi:10.1063/1.529761

A renormalization group analysis of infrared QED

J. Dimock
, T. R. Hurd

Mathematics

McMaster University

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

9 Scopus citations

Abstract

Euclidean quantum electrodynamics in the Feynman gauge is considered in dimensions d≥2 with an ultraviolet cutoff and large fermion mass. The fermions are integrated out giving an effective photon interaction. For this interaction a complete renormalization group analysis is given and it is shown that the flow of the effective interactions is toward a free photon field (infrared asymptotic freedom). This result is a special case of a general method for gauge invariant perturbations of the free photon field.

Original language	English
Pages (from-to)	814-821
Number of pages	8
Journal	Journal of Mathematical Physics
Volume	33
Issue number	2
DOIs	https://doi.org/10.1063/1.529761
State	Published - 1992

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title = "A renormalization group analysis of infrared QED",

abstract = "Euclidean quantum electrodynamics in the Feynman gauge is considered in dimensions d≥2 with an ultraviolet cutoff and large fermion mass. The fermions are integrated out giving an effective photon interaction. For this interaction a complete renormalization group analysis is given and it is shown that the flow of the effective interactions is toward a free photon field (infrared asymptotic freedom). This result is a special case of a general method for gauge invariant perturbations of the free photon field.",

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T1 - A renormalization group analysis of infrared QED

AU - Dimock, J.

AU - Hurd, T. R.

PY - 1992

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N2 - Euclidean quantum electrodynamics in the Feynman gauge is considered in dimensions d≥2 with an ultraviolet cutoff and large fermion mass. The fermions are integrated out giving an effective photon interaction. For this interaction a complete renormalization group analysis is given and it is shown that the flow of the effective interactions is toward a free photon field (infrared asymptotic freedom). This result is a special case of a general method for gauge invariant perturbations of the free photon field.

AB - Euclidean quantum electrodynamics in the Feynman gauge is considered in dimensions d≥2 with an ultraviolet cutoff and large fermion mass. The fermions are integrated out giving an effective photon interaction. For this interaction a complete renormalization group analysis is given and it is shown that the flow of the effective interactions is toward a free photon field (infrared asymptotic freedom). This result is a special case of a general method for gauge invariant perturbations of the free photon field.

UR - https://www.scopus.com/pages/publications/33847674192

U2 - 10.1063/1.529761

DO - 10.1063/1.529761

M3 - Article

AN - SCOPUS:33847674192

SN - 0022-2488

VL - 33

SP - 814

EP - 821

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 2

ER -

A renormalization group analysis of infrared QED

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