Constructing non-perturbative gauges using correlation functions

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...

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Bibliographic Details
Published inPhysics letters. B Vol. 689; no. 2-3; pp. 107 - 111
Main Author Maas, Axel
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier B.V 24.05.2010
Elsevier
Elsevier Science
Subjects
Ambiguity
Correlation
Elementary particles
Exact sciences and technology
Gages
Gauge fixing
Gauge theory
Gauges
Lattices
Mathematical analysis
Non-perturbative
Nuclear physics
Physics
The physics of elementary particles and fields
Yang–Mills theory
Non-perturbative
Yang–Mills theory
Gauge fixing
Gauge theory
Non abelian theory
Lattice theory
Correlation functions
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Summary: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.
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ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2010.04.052