Covariant gauge on the lattice: a new implementation

Details Covariant gauge on the lattice: a new implementation Covariant gauge on the lattice: a new implementation

2009-07-23

arxiv.org/abs/0907.4138v2

Phys.Rev.Lett.103:141602,2009

Physics

High Energy Physics

High Energy Physics - Lattice

3 figures, 3 plots; Sections II.A, II.B and III have been modified; final version to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.103.141602

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 L. Giusti, Nucl. Phys. B 498, 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 xi.

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