Phase with no mass gap in non-perturbatively gauge-fixed Yang--Mills theory
arXiv:1210.4284 · doi:10.1103/PhysRevD.87.054501
Abstract
An equivariantly gauge-fixed non-abelian gauge theory is a theory in which a coset of the gauge group, not containing the maximal abelian subgroup, is gauge fixed. Such theories are non-perturbatively well-defined. In a finite volume, the equivariant BRST symmetry guarantees that expectation values of gauge-invariant operators are equal to their values in the unfixed theory. However, turning on a small breaking of this symmetry, and turning it off after the thermodynamic limit has been taken, can in principle reveal new phases. In this paper we use a combination of strong-coupling and mean-field techniques to study an SU(2) Yang--Mills theory equivariantly gauge fixed to a U(1) subgroup. We find evidence for the existence of a new phase in which two of the gluons becomes massive while the third one stays massless, resembling the broken phase of an SU(2) theory with an adjoint Higgs field. The difference is that here this phase occurs in an asymptotically-free theory.
arXiv commentSignificant addition, conclusions unchanged. Revtex, 33 pages
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- Infrared Saturation and Phases of Gauge Theories with BRST Symmetry
- D-Brane Probes in the Matrix Model
- Enumerating Copies in the First Gribov Region on the Lattice in up to four Dimensions
- Gravity and On-Shell Probe Actions
- Partial Gauge Fixing and Equivariant Cohomology
- Gauge-fixing on the Lattice via Orbifolding
- Dimensional transmutation in the longitudinal sector of equivariantly gauge-fixed Yang-Mills theory