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Title: Leibbrandt--Mandelstam prescription for general axial gauge one-loop integrals

Abstract

It is well known that, in doing light-cone gauge calculations, it is mandatory to regularize the unphysical (q n)/sup -//sup ..beta../ poles by use of the Leibbrandt--Mandelstam prescription. This technique is also applied to general axial gauges and it is proved that it is a suitable regularization procedure for these gauges as well. In order to find the relation between the Leibbrandt prescription and the more familiar principal value prescription with its simpler Lorentz structure the temporal gauge limit n..-->..0 is performed (within dimensional regularization). Although this limit is found to be singular for multiple poles, the analytically regularized one-loop integrals agree with the results obtained within the principal value technique for the temporal gauge.

Authors:
; ; ;
Publication Date:
Research Org.:
Institut fuer Theoretische Physik, Technische Universitaet Wien, Karlsplatz 13, A-1040 Wien/Vienna, Austria
OSTI Identifier:
6084559
Resource Type:
Journal Article
Journal Name:
J. Math. Phys. (N.Y.); (United States)
Additional Journal Information:
Journal Volume: 28:11
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DISPERSION RELATIONS; MANDELSTAM REPRESENTATION; PARTICLE INTERACTIONS; AXIAL SYMMETRY; GAUGE INVARIANCE; INTEGRALS; LIGHT CONE; LORENTZ INVARIANCE; QUANTUM FIELD THEORY; RENORMALIZATION; UNITARITY; YANG-MILLS THEORY; FIELD THEORIES; INTERACTIONS; INVARIANCE PRINCIPLES; SPACE-TIME; SYMMETRY; 645201* - High Energy Physics- Particle Interactions & Properties-Theoretical- General & Scattering Theory

Citation Formats

Gaigg, P, Kreuzer, M, Schweda, M, and Piguet, O. Leibbrandt--Mandelstam prescription for general axial gauge one-loop integrals. United States: N. p., 1987. Web. doi:10.1063/1.527726.
Gaigg, P, Kreuzer, M, Schweda, M, & Piguet, O. Leibbrandt--Mandelstam prescription for general axial gauge one-loop integrals. United States. https://doi.org/10.1063/1.527726
Gaigg, P, Kreuzer, M, Schweda, M, and Piguet, O. Sun . "Leibbrandt--Mandelstam prescription for general axial gauge one-loop integrals". United States. https://doi.org/10.1063/1.527726.
@article{osti_6084559,
title = {Leibbrandt--Mandelstam prescription for general axial gauge one-loop integrals},
author = {Gaigg, P and Kreuzer, M and Schweda, M and Piguet, O},
abstractNote = {It is well known that, in doing light-cone gauge calculations, it is mandatory to regularize the unphysical (q n)/sup -//sup ..beta../ poles by use of the Leibbrandt--Mandelstam prescription. This technique is also applied to general axial gauges and it is proved that it is a suitable regularization procedure for these gauges as well. In order to find the relation between the Leibbrandt prescription and the more familiar principal value prescription with its simpler Lorentz structure the temporal gauge limit n..-->..0 is performed (within dimensional regularization). Although this limit is found to be singular for multiple poles, the analytically regularized one-loop integrals agree with the results obtained within the principal value technique for the temporal gauge.},
doi = {10.1063/1.527726},
url = {https://www.osti.gov/biblio/6084559}, journal = {J. Math. Phys. (N.Y.); (United States)},
number = ,
volume = 28:11,
place = {United States},
year = {1987},
month = {11}
}