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The Gluon Propagator in non-Abelian Weizsäcker-Williams fields

Alejandro Ayala·Jamal Jalilian-Marian·Larry McLerran·Raju Venugopalan
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Abstract

We carefully compute the gluon propagator in the background of a non--Abelian Weizsäcker--Williams field. This background field is generated by the valence quarks in very large nuclei. We find contact terms in the small fluctuation equations of motion which induce corrections to a previously incorrect result for the gluon propagator in such a background field. The well known problem of the Hermiticity of certain operators in Light Cone gauge is resolved for the Weizsäcker--Williams background field. This is achieved by working in a gauge where singular terms in the equations of motion are absent and then gauge transforming the small fluctuation fields to Light Cone gauge.

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Alejandro Ayala, Jamal Jalilian-Marian, Larry McLerran, Raju Venugopalan. 1995-01-17. The Gluon Propagator in non-Abelian Weizsäcker-Williams fields. https://doi.org/10.1103/physrevd.52.2935

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