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Constructing non-perturbative gauges using correlation functions

High Energy Physics - Lattice 2010-05-25 v3 High Energy Physics - Phenomenology High Energy Physics - Theory

Abstract

Gauge fixing in the non-perturbative domain of non-Abelian gauge theories is obstructed by the Gribov-Singer ambiguity. To compare results from different methods it is necessary to resolve this ambiguity explicitly. Such a resolution is proposed using conditions on correlation functions for a family of non-perturbative Landau gauges. As a consequence, the various results available for correlation functions could possibly correspond to different non-perturbative Landau gauges, discriminated by an additional non-perturbative gauge parameter. The proposal, the necessary assumptions, and evidence from lattice gauge theory calculations, are presented in detail.

Keywords

Cite

@article{arxiv.0907.5185,
  title  = {Constructing non-perturbative gauges using correlation functions},
  author = {Axel Maas},
  journal= {arXiv preprint arXiv:0907.5185},
  year   = {2010}
}

Comments

in v2: Various modifications, discussion of results and scenario extended, references added in v3: Discussed definitions of what a Gribov ambiguity, a resolution of the ambiguity, and a Gribov problem is. Various minor improvements

R2 v1 2026-06-21T13:30:32.913Z