Feynman rules for Coulomb gauge QCD

Details Feynman rules for Coulomb gauge QCD Feynman rules for Coulomb gauge QCD

2012-04-08

arxiv.org/abs/1204.1722v1

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, 10 figues

Scientific paper

The Coulomb gauge in nonabelian gauge theories is attractive in principle, but beset with technical difficulties in perturbation theory. In addition to ordinary Feynman integrals, there are, at 2-loop order, Christ-Lee (CL) terms, derived either by correctly ordering the operators in the Hamiltonian, or by resolving ambiguous Feynman integrals. Renormalization theory depends on the subgraph structure of ordinary Feynamn graphs. The CL terms do not have subgraph structure. We show how to carry out enormalization in the presene of CL erms, by re-expressing these as `pseudo-Feynman' inegrals. We also explain how energy divergences cancel.

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