Gauge invariant extremization

Details Gauge invariant extremization Gauge invariant extremization

1992-10-29

arxiv.org/abs/hep-lat/9210038v1

Nucl.Phys.Proc.Suppl. 30 (1993) 893-896

Physics

High Energy Physics

High Energy Physics - Lattice

to appear in the Proceedings of Lattice 92 (Amsterdam, NL), Nucl. Phys. B (Proc. Suppl.), 4 pages LaTeX. Style file espcrc2.st

Scientific paper

10.1016/0920-5632(93)90350-F

Recently, Duncan and Mawhinney introduced a method to find saddle points of the action in simulations of non-abelian lattice gauge theory. The idea, called `extremization', is to minimize $\int(\delta S/\delta A_\mu)^2$ instead of the action $S$ itself as in conventional `cooling'. The method was implemented in an explicitly gauge variant way, however, and gauge dependence showed up in the results. Here we present a gauge invariant formulaton of extremization on the lattice, applicable to any gauge group and any lattice action. The procedure is worked out in detail for U(1) and SU(N) lattice gauge theory with the plaquette action.

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