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Constraining the gauge-fixed Lagrangian in minimal Landau gauge

by Axel Maas

Submission summary

As Contributors: Axel Maas
Arxiv Link: https://arxiv.org/abs/1907.10435v2 (pdf)
Date accepted: 2020-04-09
Date submitted: 2020-01-27
Submitted by: Maas, Axel
Submitted to: SciPost Physics
Discipline: Physics
Subject area: High-Energy Physics - Theory
Approaches: Theoretical, Computational

Abstract

A continuum formulation of gauge-fixing resolving the Gribov-Singer ambiguity remains a challenge. Finding a Lagrangian formulation of operational resolutions in numerical lattice calculations, like minimal Landau gauge, would be one possibility. Such a formulation will here be constrained by reconstructing the Dyson-Schwinger equation for which the lattice minimal-Landau-gauge ghost propagator is a solution. It is found that this requires an additional term. As a by-product new, high precision lattice results for the ghost-gluon vertex in three and four dimensions are obtained.

Ontology / Topics

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Gauge theory Landau levels

Published as SciPost Phys. 8, 071 (2020)




Reports on this Submission

Anonymous Report 1 on 2020-2-18 Invited Report

  • Cite as: Anonymous, Report on arXiv:1907.10435v2, delivered 2020-02-18, doi: 10.21468/SciPost.Report.1520

Strengths

1. A new view of an old an important problem concerning the comparison of the results from different non-perturbative techniques for gauge dependent Green's functions
2. It raises a number of questions and open a new direction of research.

Weaknesses

1. Limited access to physical volumes that raise many questions on the authors conclusions.

Report

The author have adequately responded to all issues raised in the report and included all my suggestions. He also produced a new version of section 5 - "Summary and discussion" that greatly improve the reading of the paper contribution to the discussion.

Requested changes

No changes.

  • validity: high
  • significance: high
  • originality: high
  • clarity: high
  • formatting: perfect
  • grammar: excellent

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