2008/03/31 by Franziska Synatschke, Andreas Wipf, Kurt Langfeld
Physics and Astronomy · #Black Holes and Theoretical Physics #Chiral symmetry #Color confinement #Gauge theory #High-Energy Particle Collisions Research #Lattice (music) #Mathematical physics #Operator (biology) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quark #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.77.114018
published as Phys.Rev.D77:114018,2008 · 17 pages, 10 figures, typos corrected, references added, final version to appear in PRD
arxiv created 2008/06/02 · openalex publication_date 2008/06/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 rederived 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 antiquark 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.