Symmetry restoration and the gluon mass in the Landau gauge

We investigate the generation of a gluon screening mass in Yang-Mills theory in the Landau gauge. We propose a gauge-fixing procedure where the Gribov ambiguity is overcome by summing over all Gribov copies with some weight function. This can be formulated in terms of a local field theory involving constrained, nonlinear sigma model fields. We show that a phenomenon of radiative symmetry restoration occurs in this theory, similar to what happens in the standard nonlinear sigma model in two dimensions. This results in a nonzero gluon screening mass, as seen in lattice simulations.

Automated summary

By summing over all Gribov copies with some weight function, we propose a gauge-fixing procedure that overcomes the Gribov ambiguity in the Landau gauge. This approach involves a local field theory with constrained, nonlinear sigma model fields. A phenomenon of radiative symmetry restoration occurs in this theory, leading to a nonzero gluon screening mass as observed in lattice simulations.