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Constructing non-perturbative gauges using correlation functions.

Axel Maas1

  • 1Department of Theoretical Physics, Institute of Physics, Karl-Franzens University Graz, Universitätsplatz 5, A-8010 Graz, Austria.

Physics Letters. [Part B]
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PubMed
Summary
This summary is machine-generated.

Resolving the Gribov-Singer ambiguity in non-Abelian gauge theories is crucial. This study proposes a method using correlation functions to define non-perturbative Landau gauges, allowing for consistent comparisons between different theoretical results.

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Area of Science:

  • Theoretical High Energy Physics
  • Quantum Field Theory
  • Non-Abelian Gauge Theories

Background:

  • The Gribov-Singer ambiguity complicates gauge fixing in non-perturbative non-Abelian gauge theories.
  • Consistent comparison of results from different theoretical methods requires explicit resolution of this ambiguity.
  • Existing results for correlation functions may correspond to different non-perturbative gauges.

Purpose of the Study:

  • To propose a method for resolving the Gribov-Singer ambiguity in non-perturbative gauge fixing.
  • To establish conditions on correlation functions for a family of non-perturbative Landau gauges.
  • To investigate the role of an additional non-perturbative gauge parameter in discriminating results.

Main Methods:

  • Development of conditions on correlation functions.
  • Definition of a family of non-perturbative Landau gauges.
  • Analysis of assumptions and supporting evidence from lattice gauge theory calculations.

Main Results:

  • A concrete proposal for resolving the Gribov-Singer ambiguity is presented.
  • The proposed method allows for the discrimination of various results for correlation functions based on a non-perturbative gauge parameter.
  • Evidence supporting the proposed resolution is drawn from lattice gauge theory.

Conclusions:

  • The proposed method offers a way to explicitly resolve the Gribov-Singer ambiguity in non-perturbative gauge theories.
  • This resolution facilitates consistent comparisons of results obtained via different methods.
  • The findings suggest that different non-perturbative Landau gauges, distinguished by a parameter, might explain discrepancies in existing correlation function data.