Renormalization in Coulomb gauge QCD
A. Andrasi, J. C. Taylor
TL;DR
This paper examines the renormalization properties of Coulomb gauge QCD, revealing that UV divergences from higher-order graphs cannot be absorbed by the Christ-Lee term, challenging previous assumptions about renormalizability.
Contribution
It provides a detailed analysis showing the non-renormalizability of the Christ-Lee term in Coulomb gauge QCD at higher loops.
Findings
UV divergences cannot be absorbed by renormalizing the Christ-Lee term
Higher-order graphs introduce divergences that challenge renormalization
The non-linear Christ-Lee term is not sufficient for renormalization in Coulomb gauge
Abstract
In the Coulomb gauge of QCD, the Hamiltonian contains a non-linear Christ-Lee term, which may alternatively be derived from a careful treatment of ambiguous Feynman integrals at 2-loop order. We investigate how and if UV divergences from higher order graphs can be consistently absorbed by renormalization of the Christ-Lee term. We find that they cannot.
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