Lattice Gauge Fixing, Gribov Copies and Brst Symmetry
نویسنده
چکیده
We show that a modification of the BRST lattice quantization allows to circumvent an old paradox, formulated by Neuberger, related to lattice Gribov copies and nonperturbative BRST invariance. In the continuum limit the usual BRST formulation is recovered. ⋆ Address until August 31st, 1998. ⋆⋆ Permanent address.
منابع مشابه
ar X iv : h ep - l at / 0 20 20 10 v 1 7 F eb 2 00 2 1 ADP - 02 - 65 / T 505 QCD , Gauge Fixing , and the Gribov Problem
The standard techniques of gauge-fixing, such as covariant gauge fixing, are entirely adequate for the purposes of studies of perturbative QCD. However, they fail in the nonperturbative regime due to the presence of Gribov copies. These copies arise because standard local gauge fixing methods do not completely fix the gauge. Known Gribov-copy-free gauges, such as Laplacian gauge, are manifestly...
متن کاملBRST Symmetric Formulation of a Theory with Gribov-type Copies
A path integral with BRST symmetry can be formulated by summing the Gribov-type copies in a very specific way if the functional correspondence between τ and the gauge parameter ω defined by τ(x) = f(Aμ) is “globally single valued”, where f(Aμ) = 0 specifies the gauge condition. A soluble gauge model with Gribov-type copies recently analyzed by Friedberg, Lee, Pang and Ren satisfies this criteri...
متن کاملGribov Problem and Brst Symmetry †
After a brief historical comment on the study of BRS(or BRST) symmetry , we discuss the quantization of gauge theories with Gribov copies. A path integral with BRST symmetry can be formulated by summing the Gribov-type copies in a very specific way if the functional correspondence between τ and the gauge parameter ω defined by τ(x) = f(Aμ(x)) is “globally single valued”, where f(A ω μ(x)) = 0 s...
متن کاملar X iv : h ep - l at / 0 50 10 16 v 2 2 F eb 2 00 5 Curci - Ferrari mass and the Neuberger problem
We study the massive Curci-Ferrari model as a starting point for defining BRST quantisation for Yang-Mills theory on the lattice. In particular, we elucidate this proposal in light of topological approaches to gauge-fixing and study the case of a simple one-link Abelian model. BRST symmetry has proven an invaluable tool in the perturbative quantisa-tion of gauge theories [1] so that its elevati...
متن کاملar X iv : h ep - l at / 0 50 10 16 v 1 1 9 Ja n 20 05 Curci - Ferrari mass and the Neuberger problem
We study the massive Curci-Ferrari model as a starting point for defining BRST quantisation for Yang-Mills theory on the lattice. In particular, we elucidate this proposal in light of topological approaches to gauge-fixing and study the case of a simple one-link Abelian model. BRST symmetry has proven an invaluable tool in the perturbative quantisa-tion of gauge theories [1] so that its elevati...
متن کامل