Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2008-03-03
Phys.Rev.D77:114018,2008
Physics
High Energy Physics
High Energy Physics - Lattice
17 pages, 10 figures, typos corrected, references added, final version to appear in PRD
Scientific paper
10.1103/PhysRevD.77.114018
Spectral sums of the Dirac-Wilson operator and their relation to the Polyakov loop are thoroughly investigated. The approach by Gattringer is generalized to mode sums which reconstruct the Polyakov loop locally. This opens the possibility to study the mode sum approximation to the Polyakov loop correlator. The approach is re-derived for the ab initio continuum formulation of Yang-Mills theories, and the convergence of the mode sum is studied in detail. The mode sums are then explicitly calculated for the Schwinger model and SU(2) gauge theory in a homogeneous background field. Using SU(2) lattice gauge theory, the IR dominated mode sums are considered and the mode sum approximation to the static quark anti-quark potential is obtained numerically. We find a good agreement between the mode sum approximation and the static potential at large distances for the confinement and the high temperature plasma phase.
Langfeld Kurt
Synatschke Franziska
Wipf Andreas
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