scholarly journals Study of Gribov copies in a Yang-Mills ensemble

2021 ◽  
Vol 103 (11) ◽  
Author(s):  
D. Fiorentini ◽  
D. R. Junior ◽  
L. E. Oxman ◽  
G. M. Simões ◽  
R. F. Sobreiro
Keyword(s):  
Yang Mills ◽  
Gribov Copies

scholarly journals CONSISTENT AXIAL-LIKE GAUGE FIXING ON HYPERTORI

1994 ◽  
Vol 09 (31) ◽  
pp. 2913-2926 ◽  
Author(s):  
EDWIN LANGMANN ◽  
MANFRED SALMHOFER ◽  
ALEX KOVNER
Keyword(s):  
Gauge Group ◽  
Discrete Group ◽  
Gauge Condition ◽  
Polyakov Loop ◽  
Gauge Transformations ◽  
Yang Mills ◽  
Axial Gauge ◽  
Gauge Fixing ◽  
Gribov Copies

We analyze the Gribov problem for SU (N) and U (N) Yang–Mills fields on d-dimensional tori, d = 2, 3, …. We give an improved version of the axial gauge condition and find an infinite, discrete group [Formula: see text] where r = N − 1 and N for G = SU (N) and U (N) respectively, containing all gauge transformations compatible with that condition. This residual gauge group [Formula: see text] provides all Gribov copies for nondegenerate configurations in d = 2 and for those of them for which all winding numbers of the Wilson–Polyakov loop in one direction vanish in d ≥ 3. This shows that the space of gauge orbits is an orbifold. We derive this result both in the Lagrangian and in the Hamiltonian framework.

scholarly journals Influence of the Gribov copies on the gluon and ghost propagators in Euclidean Yang-Mills theory in the maximal Abelian gauge

2005 ◽  
Vol 72 (8) ◽  
Author(s):  
M. A. L. Capri ◽  
V. E. R. Lemes ◽  
R. F. Sobreiro ◽  
S. P. Sorella ◽  
R. Thibes
Keyword(s):  
Abelian Gauge ◽  
Yang Mills ◽  
Gribov Copies

scholarly journals A study of the Gribov copies in linear covariant gauges in euclidean Yang-Mills theories

2005 ◽  
Vol 2005 (06) ◽  
pp. 054-054 ◽  
Author(s):  
Rodrigo F Sobreiro ◽  
Silvio P Sorella
Keyword(s):  
Yang Mills ◽  
Gribov Copies

scholarly journals Symmetry restoration and the gluon mass in the Landau gauge

2021 ◽  
Vol 10 (2) ◽  
Author(s):  
Urko Reinosa ◽  
Julien Serreau ◽  
Rodrigo Carmo Terin ◽  
Matthieu Tissier
Keyword(s):  
Field Theory ◽  
Sigma Model ◽  
Landau Gauge ◽  
Two Dimensions ◽  
Nonlinear Sigma Model ◽  
Yang Mills ◽  
Local Field Theory ◽  
Gauge Fixing ◽  
Gribov Ambiguity ◽  
Gribov Copies

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.

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