General massive gauge theory

Details General massive gauge theory General massive gauge theory

1999-01-27

arxiv.org/abs/hep-th/9901140v1

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, latex, no figures

Scientific paper

10.1007/BF03035873

The concept of perturbative gauge invariance formulated exclusively by means of asymptotic fields is used to construct massive gauge theories. We consider the interactions of $r$ massive and $s$ massless gauge fields together with $(r+s)$ fermionic ghost and anti-ghost fields. First order gauge invariance requires the introduction of unphysical scalars (Goldstone bosons) and fixes their trilinear couplings. At second order additional physical scalars (Higgs fields) are necessary, their coupling is further restricted at third order. In case of one physical scalar all couplings are determined by gauge invariance, including the Higgs potential. For three massive and one massless gauge field the $SU(2)\times U(1)$ electroweak theory comes out as the unique solution.

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