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Mass Generation in Continuum SU(2) Gauge Theory in Covariant Abelian Gauges

Martin Schaden

Published 1999-09-02, updated 2000-01-17Version 3

The local action of an SU(2) gauge theory in general covariant Abelian gauges and the associated equivariant BRST symmetry that guarantees the perturbative renormalizability of the model are given. I show that a global SL(2,R) symmetry of the model is spontaneously broken by ghost-antighost condensation at arbitrarily small coupling and leads to propagators that are finite at Euclidean momenta for all elementary fields except the Abelian ``photon''. The Goldstone states form a BRST-quartet. The mechanism eliminates the non-abelian infrared divergences in the perturbative high-temperature expansion of the free energy.

Comments: 4 pages. Much improved argumentation based on a certain (spontaneously broken) SL(2,R) symmetry
Categories: hep-th, hep-lat, hep-ph
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