The nilpotent BRST symmetry for the Gribov-Zwanziger theory
نویسنده
چکیده
We have obtained the nilpotent BRST symmetry of Yang-Mills theory restricted to the Gribov region. In fact, we give a modified BRST transformation that leaves the Gribov-Zwanziger action invariant and obeys the nilpotency, although the usual BRST symmetry is broken due to the non-vanishing Gribov parameter representing the presence of the Gribov horizon in the configuration space of the Yang-Mills field.
منابع مشابه
A local and BRST-invariant Yang-Mills theory within the Gribov horizon
We present a local setup for the recently introduced BRST-invariant formulation of Yang-Mills theories for linear covariant gauges that takes into account the existence of gauge copies à la Gribov and Zwanziger. Through the convenient use of auxiliary fields, including one of the Stueckelberg type, it is shown that both the action and the associated nilpotent BRST operator can be put in local f...
متن کاملInfrared saturation and phases of gauge theories with BRST symmetry
We investigate the infrared limit of the quantum equation of motion of the gauge boson propagator in various gauges and models with a BRST symmetry. We find that the saturation of this equation at low momenta distinguishes between the Coulomb, Higgs and confining phase of the gauge theory. The Coulomb phase is characterized by a massless gauge boson. Physical states contribute to the saturation...
متن کاملNumerical Tests of the Kugo-ojima Color Confinement Criterion
The Kugo-Ojima color confinement criterion, which is based on the BRST symmetry of QCD is numerically tested by the lattice Landau gauge simulation. We first discuss the BRST symmetry on the lattice and the Gribov copy problem. The horizon function defined by Zwanziger based on the U -linear definition of the gauge field and that based on logU are compared. The parameter u which is expected to ...
متن کاملNumerical Study of the Kugo-ojima Criterion and the Gribov Problem in the Landau Gauge
The Kugo-Ojima color confinement criterion, which is based on the BRST symmetry of the continuum QCD is numerically tested by the lattice Landau gauge simulation. We first discuss the Gribov copy problem and the BRST symmetry on the lattice. The lattice Landau gauge can be formulated with options of the gauge field definition, U(link)-linear type or logU type. The Kugo-Ojima parameter u b which...
متن کاملQuantum and Classical Gauge Symmetries in a Modified Quantization Scheme
The use of the mass term as a gauge fixing term has been studied by Zwanziger, Parrinello and Jona-Lasinio, which is related to the non-linear gauge Aμ = λ of Dirac and Nambu in the large mass limit. We have recently shown that this modified quantization scheme is in fact identical to the conventional local Faddeev-Popov formula without taking the large mass limit, if one takes into account the...
متن کامل