The Minimal Landau Background Gauge on the Lattice

Abstract

We present the first numerical implementation of the minimal Landau background gauge for Yang-Mills theory on the lattice. Our approach is a simple generalization of the usual minimal Landau gauge and is formulated for general SU(N) gauge group. We also report on preliminary tests of the method in the four-dimensional SU(2) case, using different background fields. Our tests show that the convergence of the numerical minimization process is comparable to the case of a null background. The uniqueness of the minimizing functional employed is briefly discussed.

5 pages, 1 table

References in corpus (2)

• Covariant gauge on the lattice: a new implementation
• Feynman gauge on the lattice: new results and perspectives

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