Gribov Copy and Complex Phase of Chiral Determinant

Abstract

We calculate the complex phase of chiral determinant by the vacuum overlap formula with configurations of two-dimensional U(1) gauge field fixed in Landau and Laplacian gauge. The complex phase fluctuates over the Gribov copies, which appear in the process of Landau gauge fixing and contain vortex-like singularities. In the Laplacian gauge, the fluctuation can be reduced and the phase can be determined uniquely. If it is used as a preconditioning for Landau gauge fixing, the most smooth configuration is obtained among the copies generated.

Talk presented at LATTICE96(chiral gauge), 3 LaTeX pages with 5 postscript figures, need espcrc2.sty(included)

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