Decontracted double BRST symmetry on the lattice

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dc.contributor.authorVon Smekal, L.
dc.contributor.authorGhiotti, M.
dc.contributor.authorWilliams, A.
dc.date.issued2008
dc.description.abstractWe present the Curci-Ferrari model on the lattice. In the massless case the topological interpretation of this model with its double Becchi-Rouet-Stora-Tyutin (BRST) symmetry relates to the Neuberger 0/0 problem which we extend to include the ghost/antighost symmetric formulation of the nonlinear-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→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 ξ and mass m dependence of the model and show how both cancel when m≡m(ξ) is appropriately adjusted with ξ.
dc.description.statementofresponsibilityvon Smekal, L.; Ghiotti, M.and Williams, A. G.
dc.identifier.citationPhysical Review D: Particles, Fields, Gravitation and Cosmology, 2008; 78(8):085016-1-085016-19
dc.identifier.doi10.1103/PhysRevD.78.085016
dc.identifier.issn1550-7998
dc.identifier.issn1550-2368
dc.identifier.orcidWilliams, A. [0000-0002-1472-1592]
dc.identifier.urihttp://hdl.handle.net/2440/49761
dc.language.isoen
dc.publisherAmerican Physical Soc
dc.relation.grantARC
dc.rights©2008 American Physical Society
dc.source.urihttps://doi.org/10.1103/physrevd.78.085016
dc.titleDecontracted double BRST symmetry on the lattice
dc.typeJournal article
pubs.publication-statusPublished

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