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arXiv · 1111.7279

Leading order QCD in Coulomb gauge

Peter Watson·Hugo Reinhardt
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Abstract

Coulomb gauge QCD in the first order formalism can be written in terms of a ghost-free, nonlocal action that ensures total color charge conservation via Gauss' law. Making an Ansatz whereby the nonlocal term (the Coulomb kernel) is replaced by its expectation value, the resulting Dyson-Schwinger equations can be derived. With a leading order truncation, these equations reduce to the gap equations for the static gluon and quark propagators obtained from a quasi-particle approximation to the canonical Hamiltonian approach. Moreover a connection to the heavy quark limit can be established, allowing an intuitive explanation for the charge constraint and infrared divergences.

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Peter Watson, Hugo Reinhardt. 2011-11-30. Leading order QCD in Coulomb gauge. https://arxiv.org/abs/1111.7279

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