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https://hdl.handle.net/2440/49761
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Type: | Journal article |
Title: | Decontracted double BRST symmetry on the lattice |
Author: | Von Smekal, L. Ghiotti, M. Williams, A. |
Citation: | Physical Review D: Particles, Fields, Gravitation and Cosmology, 2008; 78(8):085016-1-085016-19 |
Publisher: | American Physical Soc |
Issue Date: | 2008 |
ISSN: | 1550-7998 1550-2368 |
Statement of Responsibility: | von Smekal, L.; Ghiotti, M.and Williams, A. G. |
Abstract: | We 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. |
Rights: | ©2008 American Physical Society |
DOI: | 10.1103/PhysRevD.78.085016 |
Grant ID: | ARC |
Published version: | http://dx.doi.org/10.1103/physrevd.78.085016 |
Appears in Collections: | Aurora harvest 5 Chemistry and Physics publications |
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hdl_49761.pdf | Published version | 382.38 kB | Adobe PDF | View/Open |
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