Laplacian modes as a filter

Details Laplacian modes as a filter Laplacian modes as a filter

2005-11-16

arxiv.org/abs/hep-lat/0511030v1

Nucl.Phys.Proc.Suppl. 153 (2006) 33-40

Physics

High Energy Physics

High Energy Physics - Lattice

talk presented by FB at the Workshop on Computational Hadron Physics, Nikosia (Cyprus), Sept. 14-17, 2005; compared to hep-lat

Scientific paper

10.1016/j.nuclphysbps.2006.01.00

We compute low-lying eigenmodes of the gauge covariant Laplace operator on the lattice at finite temperature. For classical configurations we show how the lowest mode localizes the monopole constituents inside calorons and that it hops upon changing the boundary conditions. The latter effect we observe for thermalized backgrounds, too, analogously to what is known for fermion zero modes. We propose a new filter for equilibrium configurations which provides link variables as a truncated sum involving the Laplacian modes. This method not only reproduces classical structures, but also preserves the confining potential, even when only a few modes are used.

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