Coulomb gauge Green functions and Gribov copies in SU(2) lattice gauge theory
نویسندگان
چکیده
We reconsider the lattice measurement of Green functions in Coulomb gauge, both in 2 + 1 and 3 + 1 dimensions, using an improved gauge fixing scheme. The influence of Gribov copies is examined and we find clear indications that Green functions are more strongly affected than previously assumed, in particular for low momenta. Qualitatively, our improved lattice results in the infra-red compare more favourably with recent continuum calculations in the Hamiltonian approach.
منابع مشابه
How to extract information from Green’s functions in Landau gauge
The infrared behavior of gluon and ghost propagators offers a crucial test of confinement scenarios in Yang-Mills theories. A nonperturbative study of these propagators from first principles is possible in lattice simulations, but one must consider significantly large lattice sizes in order to approach the infrared limit. We propose constraints based on general properties of the propagators to ...
متن کاملGribov Copies in the Minimal Landau Gauge: the Influence on Gluon and Ghost Propagators
We study the influence of Gribov copies on gluon and ghost propagators, evaluated numerically in pure SU(2) lattice gauge theory in the minimal Landau gauge. Simulations are done at four different values of β (namely β = 0, 0.8, 1.6 and 2.7 ) and for volumes up to 164 (up to 244 at β = 1.6). For the gluon propagator, Gribov noise seems to be of the order of magnitude of the numerical accuracy, ...
متن کاملInfrared Behavior of the Gluon Propagator in Lattice Landau Gauge
We evaluate numerically the four-momentum-space gluon propagator in lattice Landau gauge, for pure SU(2) lattice gauge theory with periodic boundary conditions. Simulations are done in the strong-coupling regime, namely at β = 0, 0.8, 1.2 and 1.6, and for lattice sizes up to 30, 16, 20 and 24 respectively. In the limit of large lattice volume, we observe in all cases a gluon propagator decreasi...
متن کاملCoulomb gauge Gribov copies and the confining potential
We develop an approach to the static inter-quark potential based on Polyakov lines of finite temporal extent, evaluated in Coulomb gauge. At small spatial separations, the potential can be understood as being between two separately gauge invariant colour charges. At larger separations Gribov copies obstruct the non-perturbative identification of individually gauge invariant colour states. We sh...
متن کاملNumerical Study of the Fundamental Modular Region in the Minimal Landau Gauge
We study numerically the so-called fundamental modular region Λ, a region free of Gribov copies, in the minimal Landau gauge for pure SU(2) lattice gauge theory. To this end we evaluate the influence of Gribov copies on several quantities — such as the smallest eigenvalue of the Faddeev-Popov matrix, the third and the fourth derivatives of the minimizing function, and the so-called horizon func...
متن کامل