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Title: Regularization of the light-cone gauge gluon propagator singularities using sub-gauge conditions

Abstract

Perturbative QCD calculations in the light-cone gauge have long suffered from the ambiguity associated with the regularization of the poles in the gluon propagator. In this work we study sub-gauge conditions within the light-cone gauge corresponding to several known ways of regulating the gluon propagator. By using the functional integral calculation of the gluon propagator, we rederive the known sub-gauge conditions for the θ-function gauges and identify the sub-gauge condition for the principal value (PV) regularization of the gluon propagator’s light-cone poles. The obtained sub-gauge condition for the PV case is further verified by a sample calculation of the classical Yang-Mills field of two collinear ultrarelativistic point color charges. Our method does not allow one to construct a sub-gauge condition corresponding to the well-known Mandelstam-Leibbrandt prescription for regulating the gluon propagator poles.

Authors:
 [1];  [1];  [1]
  1. The Ohio State Univ., Columbus, OH (United States). Dept of Physics
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1422730
Grant/Contract Number:  
AC02-05CH11231; SC0004286
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 12; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QCD Phenomenology; NLO Computations

Citation Formats

Chirilli, Giovanni A., Kovchegov, Yuri V., and Wertepny, Douglas E. Regularization of the light-cone gauge gluon propagator singularities using sub-gauge conditions. United States: N. p., 2015. Web. doi:10.1007/JHEP12(2015)138.
Chirilli, Giovanni A., Kovchegov, Yuri V., & Wertepny, Douglas E. Regularization of the light-cone gauge gluon propagator singularities using sub-gauge conditions. United States. doi:10.1007/JHEP12(2015)138.
Chirilli, Giovanni A., Kovchegov, Yuri V., and Wertepny, Douglas E. Mon . "Regularization of the light-cone gauge gluon propagator singularities using sub-gauge conditions". United States. doi:10.1007/JHEP12(2015)138. https://www.osti.gov/servlets/purl/1422730.
@article{osti_1422730,
title = {Regularization of the light-cone gauge gluon propagator singularities using sub-gauge conditions},
author = {Chirilli, Giovanni A. and Kovchegov, Yuri V. and Wertepny, Douglas E.},
abstractNote = {Perturbative QCD calculations in the light-cone gauge have long suffered from the ambiguity associated with the regularization of the poles in the gluon propagator. In this work we study sub-gauge conditions within the light-cone gauge corresponding to several known ways of regulating the gluon propagator. By using the functional integral calculation of the gluon propagator, we rederive the known sub-gauge conditions for the θ-function gauges and identify the sub-gauge condition for the principal value (PV) regularization of the gluon propagator’s light-cone poles. The obtained sub-gauge condition for the PV case is further verified by a sample calculation of the classical Yang-Mills field of two collinear ultrarelativistic point color charges. Our method does not allow one to construct a sub-gauge condition corresponding to the well-known Mandelstam-Leibbrandt prescription for regulating the gluon propagator poles.},
doi = {10.1007/JHEP12(2015)138},
journal = {Journal of High Energy Physics (Online)},
number = 12,
volume = 2015,
place = {United States},
year = {2015},
month = {12}
}

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Cited by: 3 works
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