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

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

doi:10.1007/JHEP12(2015)138

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

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

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

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. 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.

Original language	English
Article number	138
Pages (from-to)	1-26
Number of pages	26
Journal	Journal of High Energy Physics
Volume	2015
Issue number	12
DOIs	https://doi.org/10.1007/JHEP12(2015)138
State	Published - 1 Dec 2015
Externally published	Yes

Keywords

NLO Computations
QCD Phenomenology

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1007/JHEP12(2015)138

Cite this

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title = "Regularization of the light-cone gauge gluon propagator singularities using sub-gauge conditions",

abstract = "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. 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{\textquoteright}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.",

keywords = "NLO Computations, QCD Phenomenology",

author = "Chirilli, {Giovanni A.} and Kovchegov, {Yuri V.} and Wertepny, {Douglas E.}",

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year = "2015",

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doi = "10.1007/JHEP12(2015)138",

language = "English",

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T1 - Regularization of the light-cone gauge gluon propagator singularities using sub-gauge conditions

AU - Chirilli, Giovanni A.

AU - Kovchegov, Yuri V.

AU - Wertepny, Douglas E.

PY - 2015/12/1

Y1 - 2015/12/1

N2 - 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. 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.

AB - 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. 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.

KW - NLO Computations

KW - QCD Phenomenology

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DO - 10.1007/JHEP12(2015)138

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JF - Journal of High Energy Physics

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ER -

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

Abstract

Keywords

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