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arXiv · 0807.0480

Decontracted double BRST on the lattice

Lorenz von Smekal·Marco Ghiotti·Anthony G Williams
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Abstract

We present the Curci-Ferrari model on the lattice. In the massless case the topological interpretation of this model with its double BRST symmetry relates to the Neuberger 0/0 problem which we extend to include the ghost/anti-ghost symmetric formulation of the non-linear covariant Curci-Ferrari gauges on the lattice. The introduction of a Curci-Ferrari mass term, however, serves to regulate the 0/0 indeterminate form of physical observables observed by Neuberger. While such a mass m decontracts the double BRST/anti-BRST algebra, which is well-known to result in a loss of unitarity, observables can be meaningfully defined in the limit m to 0 via l'Hospital's rule. At finite m the topological nature of the partition function used as the gauge fixing device seems lost. We discuss the gauge parameter xi and mass m dependence of the model and show how both cancel when m = m(xi) is appropriately adjusted with xi.

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Lorenz von Smekal, Marco Ghiotti, Anthony G Williams. 2008-07-03. Decontracted double BRST on the lattice. https://doi.org/10.1103/physrevd.78.085016

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