Extended Double Lattice BRST, Curci-Ferrari Mass and the Neuberger Problem
M. Ghiotti, L. von Smekal, A.G. Williams
TL;DR
This paper extends the lattice BRST framework to include the Curci-Ferrari gauges, addressing the Neuberger problem by introducing a mass term that regularizes indeterminate observables, and analyzes gauge and mass dependence.
Contribution
It introduces an extended double BRST formulation on the lattice for Curci-Ferrari gauges and demonstrates how a mass term resolves the Neuberger problem.
Findings
The CF mass regularizes the 0/0 indeterminate form.
The extended BRST framework applies to ghost/anti-ghost symmetric gauges.
The model's gauge-parameter and mass dependence are analyzed.
Abstract
We present Extended Double BRST on the lattice and extend the Neuberger problem to include the ghost/anti-ghost symmetric formulation of the non-linear covariant Curci-Ferrari (CF) gauges. We then show how a CF mass regulates the 0/0 indeterminate form of physical observables, as observed by Neuberger, and discuss the gauge-parameter and mass dependence of the model.
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