2007/03/19 by Franziska Synatschke, Andreas Wipf, Christian Wozar · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Deconfinement #Dirac operator #Gauge theory #Lattice (music) #Limit (mathematics) #Loop (graph theory) #Mathematical analysis #Mathematical physics #Mathematics #Operator (biology) #Order (exchange) #Particle physics theoretical and experimental studies #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Spectrum (functional analysis) #Wilson loop #hep-lat #hep-th
paper · pdf · doi:10.1103/physrevd.75.114003
published as Phys.Rev.D75:114003,2007 · 24 pages, 20 figures, latex
arxiv created 2007/03/19 · openalex publication_date 2007/06/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate and compute spectral sums of the Wilson lattice Dirac operator for quenched SU(3) gauge theory. It is demonstrated that there exist sums which serve as order parameters for the confinement-deconfinement phase transition and get their main contribution from the IR end of the spectrum. They are approximately proportional to the Polyakov loop. In contrast to earlier studied spectral sums, some of them are expected to have a well-defined continuum limit.