Perturbation theory for the two-dimensional abelian Higgs model in the unitary gauge

Details Perturbation theory for the two-dimensional abelian Higgs model in the unitary gauge Perturbation theory for the two-dimensional abelian Higgs model in the unitary gauge

2003-07-04

arxiv.org/abs/hep-th/0307053v2

Eur.Phys.J.C32:261-268,2004

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTeX2e, uses the feynmf package, formulations corrected

Scientific paper

10.1140/epjc/s2003-01327-9

In the unitary gauge the unphysical degrees of freedom of spontaneously broken gauge theories are eliminated. The Feynman rules are simpler than in other gauges, but it is non-renormalizable by the rules of power counting. On the other hand, it is formally equal to the limit $\xi \to 0$ of the renormalizable R$_{\xi}$-gauge. We consider perturbation theory to one-loop order in the R$_{\xi}$-gauge and in the unitary gauge for the case of the two-dimensional abelian Higgs model. An apparent conflict between the unitary gauge and the limit $\xi \to 0$ of the R$_{\xi}$-gauge is resolved, and it is demonstrated that results for physical quantities can be obtained in the unitary gauge.

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