Renormalization in Coulomb gauge QCD

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.

Research highlights
► The Hamiltonian in the Coulomb gauge of QCD contains a non-linear Christ-Lee term.
► We investigate the UV divergences from higher order graphs.
► We find that they cannot be absorbed by renormalization of the Christ-Lee term.