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arXiv · hep-ph/9504278

Abelian versus Non-Abelian Higgs Model in Three Dimensions

W. Buchmuller·O. Philipsen
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Abstract

We study the phase structure of the abelian Higgs model in three dimensions based on perturbation theory and a set of gauge independent gap equations for Higgs boson and vector boson masses. Contrary to the non-abelian Higgs model, the vector boson mass vanishes in the symmetric phase. In the Higgs phase the gap equations yield masses consistent with perturbation theory. The phase transition is first-order for small values of the scalar self-coupling $λ$, where the employed loop expansion is applicable.

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W. Buchmuller, O. Philipsen. 1995-04-11. Abelian versus Non-Abelian Higgs Model in Three Dimensions. https://doi.org/10.1016/0370-2693(95)00708-s

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