Laplacian modes for calorons and as a filter

Bruckmann, Falk; Ilgenfritz, Ernst-Michael

Laplacian modes for calorons and as a filter

Authors

Description

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.
talk presented by F. Bruckmann at Lattice2005 (Topology and Confinement), Dublin, July 25-30, 2005; 6 pages, 4 figures; uses PoS.cls