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

Chirilli, Giovanni A.; Kovchegov, Yuri V.; Wertepny, Douglas E.

doi:10.1007/JHEP12(2015)138

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

Journal Article · Mon Dec 21 00:00:00 EST 2015 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP12(2015)138· OSTI ID:1422730

Chirilli, Giovanni A. ^[1]; Kovchegov, Yuri V. ^[1]; Wertepny, Douglas E. ^[1]

The Ohio State Univ., Columbus, OH (United States). Dept of Physics

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.

Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); The Ohio State Univ., Columbus, OH (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: AC02-05CH11231; SC0004286

OSTI ID:: 1422730

Alternate ID(s):: OSTI ID: 1604444
OSTI ID: 22587603

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 12 Vol. 2015; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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