Obtaining gluon propagator with Leibbrandt-Mandelstam prescription


Veliev E.

PHYSICS LETTERS B, vol.498, pp.199-202, 2001 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 498
  • Publication Date: 2001
  • Doi Number: 10.1016/s0370-2693(01)00010-7
  • Journal Name: PHYSICS LETTERS B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.199-202
  • Kocaeli University Affiliated: Yes

Abstract

The quantization problems of the gluon fields are investigated in the lightcone gauge, n(mu)A(mu)(a)(x) = 0, where n(2) = 0. In this gauge, the gluon propagator has unphysical poles of kind 1/(nk). In order to remove these singularities, Leibbrandt and Mandelstam have proposed a new prescription. In this work we introduced a new modified lightcone gauge, which is (n(mu) + i epsilon/(n*k)k(2)k(mu))A(mu)(a) = 0 where n(mu)(*) is the dual vector to n(mu). We proved that Leibbrandt-Mandelstam prescription can be obtained on the basis of consistent quantization. The Ward identity in the modified lightcone gauge was also investigated. (C) 2001 Published by Elsevier Science B.V.