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

Abstract

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.

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

References in corpus (2)

• Vacuum condensate of mass dimension 2 as the origin of mass gap and quark confinement
• The Diagonal Ghost Equation Ward Identity for Yang-Mills Theories in the Maximal Abelian Gauge

Cited by in corpus (5)

• Two loop effective potential for < A^2_μ> in the Landau gauge in quantum chromodynamics
• On the SL(2,R) symmetry in Yang-Mills Theories in the Landau, Curci-Ferrari and Maximal Abelian Gauge
• Ghost Condensates and Dynamical Breaking of SL(2,R) in Yang-Mills in the Maximal Abelian Gauge
• Gauge fixing and BRST formalism in non-Abelian gauge theories
• Non-perturbative aspects of Yang-Mills theories