Equivalence between Zwanziger's horizon function and Gribov's no-pole ghost form factor

Abstract

The ghost form factor entering the Gribov no-pole condition is evaluated till the third order in the gauge fields. The resulting expression turns out to coincide with Zwanziger's horizon function implementing the restriction to the Gribov region in the functional integral.

9 pp. No figures. Final version to appear in Physics Letters B

References in corpus (2)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach

Cited by in corpus (16)

• The Gribov problem and QCD dynamics
• An all-order proof of the equivalence between Gribov's no-pole and Zwanziger's horizon conditions
• Strong-coupling study of the Gribov ambiguity in lattice Landau gauge
• Study of the properties of the Gribov region in SU(N) Euclidean Yang-Mills theories in the maximal Abelian gauge
• Semiclassical analysis of the phases of 4d SU(2) Higgs gauge systems with cutoff at the Gribov horizon
• The No-Pole Condition in Landau gauge: Properties of the Gribov Ghost Form-Factor and a Constraint on the 2d Gluon Propagator
• The universal character of Zwanziger's horizon function in Euclidean Yang-Mills theories
• On bounds and boundary conditions in the continuum Landau gauge
• Local QCD Action at Finite Temperature
• Exploring new horizons of the Gribov problem in Yang-Mills theories
• Aspects of the Gribov-Zwanziger framework
• Infinitesimal Gribov copies in gauge-fixed topological Yang-Mills theories
• Correspondence between the twisted $N=2$ super-Yang-Mills and conformal Baulieu-Singer theories
• Landau confining replica model from an explicitly breaking of a SU(3) group without auxiliary fields
• On the zero modes of the Faddev-Popov operator in the Landau gauge
• A modification of Faddeev-Popov approach free from Gribov ambiguity