Perturbative spectrum of a Yukawa-Higgs model with Ginsparg-Wilson fermions

Details Perturbative spectrum of a Yukawa-Higgs model with Ginsparg-Wilson fermions Perturbative spectrum of a Yukawa-Higgs model with Ginsparg-Wilson fermions

2007-06-21

arxiv.org/abs/0706.3083v2

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages

Scientific paper

A Yukawa-Higgs model with Ginsparg-Wilson (GW) fermions, proposed recently by Bhattacharya, Martin and Poppitz as a possible lattice formulation of chiral gauge theories, is studied. A simple argument shows that the gauge boson always acquires mass by the St\"uckelberg (or, in a broad sense, Higgs) mechanism, regardless of strength of interactions. The gauge symmetry is spontaneously broken. When the gauge coupling constant is small, the physical spectrum of the model consists of massless fermions, massive fermions and \emph{massive} vector bosons.

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