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Phys. Rev. Lett. 103, 141602 (2009) [4 pages]

Covariant Gauge on the Lattice: A New Implementation

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Attilio Cucchieri1, Tereza Mendes1,2, and Elton M. S. Santos1,3
1Instituto de Física de São Carlos, Universidade de São Paulo, Caixa Postal 369, 13560-970 São Carlos, SP, Brazil
2DESY–Zeuthen, Platanenallee 6, 15738 Zeuthen, Germany
3Instituto de Educação Agricultura e Ambiente, Campus Vale do Rio Madeira, Universidade Federal do Amazonas, 69800-000 Humaitá-AM, Brazil

Received 4 August 2009; published 2 October 2009

We derive a new implementation of linear covariant gauges on the lattice, based on a minimizing functional that can be interpreted as the Hamiltonian of a spin-glass model in a random external magnetic field. We show that our method solves most problems encountered in earlier implementations, mostly related to the no-go condition formulated by Giusti [ Nucl. Phys. B498 331 (1997)]. We carry out tests in the SU(2) case in four space-time dimensions. We also present preliminary results for the transverse gluon propagator at different values of the gauge parameter ξ.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.103.141602
DOI:
10.1103/PhysRevLett.103.141602
PACS:
11.15.Ha, 12.38.Aw