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Propagators with the Mandelstam-Leibbrandt prescription in the light-cone gauge

Ashok Das1 and J. Frenkel2

  • 1Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627-0171, USA
  • 2Instituto de Física, Universidade de São Paulo, São Paulo, Brazil

Phys. Rev. D 71, 087701 – Published 12 April, 2005

DOI: https://doi.org/10.1103/PhysRevD.71.087701

Abstract

We show that the Feynman propagator in the light-cone gauge with the Mandelstam-Leibbrandt prescription has a logarithmic growth for large n˜·x which is related to the presence of a residual gauge invariance. Furthermore, we show that the retarded propagator for the n˜·A component of the gauge field develops a coordinate dependent mass. We argue that this feature is unphysical and may be eliminated by fixing the residual gauge degrees of freedom.

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