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Title: Propagators with the Mandelstam-Leibbrandt prescription in the light-cone gauge

Abstract

We show that the Feynman propagator in the light-cone gauge with the Mandelstam-Leibbrandt prescription has a logarithmic growth for large n-tilde{center_dot}x which is related to the presence of a residual gauge invariance. Furthermore, we show that the retarded propagator for the n-tilde{center_dot}A component of the gauge field develops a coordinate dependent mass. We argue that this feature is unphysical and may be eliminated by fixing the residual gauge degrees of freedom.

Authors:
 [1];  [2]
  1. Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627-0171 (United States)
  2. Instituto de Fisica, Universidade de Sao Paulo, Sao Paulo (Brazil)
Publication Date:
OSTI Identifier:
20709135
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 71; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.71.087701; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COORDINATES; DEGREES OF FREEDOM; GAUGE INVARIANCE; LIGHT CONE; MASS; PROPAGATOR; QUANTUM FIELD THEORY

Citation Formats

Das, Ashok, and Frenkel, J. Propagators with the Mandelstam-Leibbrandt prescription in the light-cone gauge. United States: N. p., 2005. Web. doi:10.1103/PhysRevD.71.087701.
Das, Ashok, & Frenkel, J. Propagators with the Mandelstam-Leibbrandt prescription in the light-cone gauge. United States. https://doi.org/10.1103/PhysRevD.71.087701
Das, Ashok, and Frenkel, J. Fri . "Propagators with the Mandelstam-Leibbrandt prescription in the light-cone gauge". United States. https://doi.org/10.1103/PhysRevD.71.087701.
@article{osti_20709135,
title = {Propagators with the Mandelstam-Leibbrandt prescription in the light-cone gauge},
author = {Das, Ashok and Frenkel, J},
abstractNote = {We show that the Feynman propagator in the light-cone gauge with the Mandelstam-Leibbrandt prescription has a logarithmic growth for large n-tilde{center_dot}x which is related to the presence of a residual gauge invariance. Furthermore, we show that the retarded propagator for the n-tilde{center_dot}A component of the gauge field develops a coordinate dependent mass. We argue that this feature is unphysical and may be eliminated by fixing the residual gauge degrees of freedom.},
doi = {10.1103/PhysRevD.71.087701},
url = {https://www.osti.gov/biblio/20709135}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 8,
volume = 71,
place = {United States},
year = {2005},
month = {4}
}