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 journalArticlepeer-review

11 Scopus citations


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 languageEnglish
Article number138
Pages (from-to)1-26
Number of pages26
JournalJournal of High Energy Physics
Issue number12
StatePublished - 1 Dec 2015
Externally publishedYes


  • NLO Computations
  • QCD Phenomenology

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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