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A Gauge-Fixing Action for Lattice Gauge Theories

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arxiv hep-lat/9608116 v2 pith:T4DLJ6Y7 submitted 1996-08-22 hep-lat hep-th

Maarten Golterman , Yigal Shamir This is my paper · ORCID
classification hep-lathep-th
keywords actionlatticegauge-fixingabsoluteaspectsbrstdiagramdimension
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abstract

We present a lattice gauge-fixing action $S_{gf}$ with the following properties: (a) $S_{gf}$ is proportional to the trace of $(\sum_\mu \partial_\mu A_\mu)^2$, plus irrelevant terms of dimension six and higher; (b) $S_{gf}$ has a unique absolute minimum at $U_{x,\mu}=I$. Noting that the gauge-fixed action is not BRST invariant on the lattice, we discuss some important aspects of the phase diagram.

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  1. Unpaired Weyl fermion on an axion string in a finite lattice

    hep-th 2025-06 conditional novelty 6.0 of 10

    A modified crossed-domain-wall axion string on an N=28 periodic lattice produces an unpaired, single-chirality Weyl fermion branch, extending the Kaplan-Sen disk construction to string defects.

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