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Lattice Landau gauge via Stereographic Projection · Around

2008

Lattice Landau gauge via Stereographic Projection

von Smekal, Lorenz, Jorkowski, Alexander, Mehta, Dhagash et al.

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The complete cancellation of Gribov copies and the Neuberger 0/0 problem of lattice BRST can be avoided in modified lattice Landau gauge.

In compact U(1), where the problem is a lattice artifact, there remain to be Gribov copies but their number is exponentially reduced.
Moreover, there is no cancellation of copies there as the sign of the Faddeev-Popov determinant is positive.
Applied to the maximal Abelian subgroup this avoids the perfect cancellation amongst the remaining Gribov copies for SU(N) also.

Built on

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R. Alkofer and L. von Smekal, Phys. Rept. 353
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A. Jorkowski, Honours thesis, University of Adelaide, November 2008; A. Jorkowski, A. Sternbeck and L. von Smekal, in preparation
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