Perturbation theory for the two-dimensional abelian Higgs model in the unitary gauge
| Autor: | Gernot Münster, E.E. Scholz |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2003 |
| Předmět: |
Physics
High Energy Physics - Theory Physics and Astronomy (miscellaneous) High Energy Physics::Lattice High Energy Physics::Phenomenology Order (ring theory) FOS: Physical sciences Gauge (firearms) Unitary state symbols.namesake High Energy Physics::Theory High Energy Physics - Theory (hep-th) symbols Higgs boson Feynman diagram Perturbation theory (quantum mechanics) Gauge theory Abelian group Engineering (miscellaneous) Mathematical physics |
| Popis: | 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. Comment: 15 pages, LaTeX2e, uses the feynmf package, formulations corrected |
| Databáze: | OpenAIRE |
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