Mass Generation, Ghost Condensation and Broken Symmetry: SU(2) in Covariant Abelian Gauges

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, Latex with 2 postscript figures, uses psfig. Talk given at Confinement IV, Vienna 2000

Scientific paper

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. A global SL(2,R) symmetry of the model is spontaneously broken by ghost-antighost condensation at arbitrarily small coupling. This leads to propagators that are finite at Euclidean momenta for all elementary fields except the Abelian ``photon''. Ward Identities show that the symmetry breaking gives rise to massless BRST-quartets with ghost numbers (1,2,-2,-1) and (0,1,-1,0). The latter quartet is interpreted as due to an Abelian Higgs mechanism in the dual description of the model.

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