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Title: Free vector propagator in the light-cone gauge and the Mandelstam-Leibbrandt prescription

Abstract

We show that the Mandelstam-Leibbrandt causal prescription in the light-cone gauge leads to a free vector propagator which is a tempered distribution, at variance with the Cauchy principal-value prescription and other ones related to it by residual gauge transformations, which unavoidably entail infrared singularities already at the free level of the theory. In this respect the causal prescription seems to enjoy a privileged status.

Authors:
 [1]
  1. Dipartimento di Fisica Galileo Galilei,'' Via Marzolo, 8-35131 Padova (Italy) Istituto Nazionale di Fisica Nucleare, Sezione di Padova, Padova (Italy)
Publication Date:
OSTI Identifier:
7200395
Resource Type:
Journal Article
Journal Name:
Physical Review, D (Particles Fields); (United States)
Additional Journal Information:
Journal Volume: 46:8; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; LIGHT CONE; GAUGE INVARIANCE; CAUCHY PROBLEM; CAUSALITY; FEYNMAN DIAGRAM; GREEN FUNCTION; INFRARED DIVERGENCES; PROPAGATOR; QUANTIZATION; SINGULARITY; VECTORS; DIAGRAMS; FUNCTIONS; INVARIANCE PRINCIPLES; SPACE-TIME; TENSORS; 662120* - General Theory of Particles & Fields- Symmetry, Conservation Laws, Currents & Their Properties- (1992-); 661100 - Classical & Quantum Mechanics- (1992-)

Citation Formats

Bassetto, A. Free vector propagator in the light-cone gauge and the Mandelstam-Leibbrandt prescription. United States: N. p., 1992. Web. doi:10.1103/PhysRevD.46.3676.
Bassetto, A. Free vector propagator in the light-cone gauge and the Mandelstam-Leibbrandt prescription. United States. https://doi.org/10.1103/PhysRevD.46.3676
Bassetto, A. Thu . "Free vector propagator in the light-cone gauge and the Mandelstam-Leibbrandt prescription". United States. https://doi.org/10.1103/PhysRevD.46.3676.
@article{osti_7200395,
title = {Free vector propagator in the light-cone gauge and the Mandelstam-Leibbrandt prescription},
author = {Bassetto, A},
abstractNote = {We show that the Mandelstam-Leibbrandt causal prescription in the light-cone gauge leads to a free vector propagator which is a tempered distribution, at variance with the Cauchy principal-value prescription and other ones related to it by residual gauge transformations, which unavoidably entail infrared singularities already at the free level of the theory. In this respect the causal prescription seems to enjoy a privileged status.},
doi = {10.1103/PhysRevD.46.3676},
url = {https://www.osti.gov/biblio/7200395}, journal = {Physical Review, D (Particles Fields); (United States)},
issn = {0556-2821},
number = ,
volume = 46:8,
place = {United States},
year = {1992},
month = {10}
}