Constraining the gauge-fixed Lagrangian in minimal Landau gauge

2019/07/24 by Axel Maas · 1 voice
Physics and Astronomy · #hep-lat #hep-ph

paper · pdf · doi:10.21468/scipostphys.8.5.071

published as SciPost Phys. 8, 071 (2020) · 25 pages, 10 figures, 2 tables; v2: Added and expanded appendices with more details of the input data, revised and extended discussion, added references

arxiv published 2019/07/24 · arxiv created 2020/01/24 · arxiv updated 2020/05/06

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.

Discussions

• I have published a new paper on subtle issues in gauge theories at https://arxiv.org/abs/1907.10435 - I will write sometime a blog entry to explain it contents, as it pretty involved. However, it is a [bsky, 0 points, 1 comments]

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