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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

A Gauge-Fixing Action for Lattice Gauge Theories

classification hep-lat hep-th
keywords actionlatticegauge-fixingabsoluteaspectsbrstdiagramdimension
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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