Dual quark condensate and dressed Polyakov loops

Erek Bilgici, Falk Bruckmann, Christof Gattringer, and Christian Hagen
Phys. Rev. D 77, 094007 – Published 12 May 2008

Abstract

We construct a new order parameter for finite temperature QCD by considering the quark condensate for U(1)-valued temporal boundary conditions for the fermions. Fourier transformation with respect to the boundary condition defines the dual condensate. This quantity corresponds to an equivalence class of Polyakov loops, thereby being an order parameter for the center symmetry. We explore the duality relation between the quark condensate and these dressed Polyakov loops numerically, using quenched lattice QCD configurations below and above the QCD phase transition. It is demonstrated that the Dirac spectrum responds differently to changing the boundary condition, in a manner that reproduces the expected Polyakov loop pattern. We find the dressed Polyakov loops to be dominated by the lowest Dirac modes, in contrast to thin Polyakov loops investigated earlier.

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  • Received 4 February 2008

DOI:https://doi.org/10.1103/PhysRevD.77.094007

©2008 American Physical Society

Authors & Affiliations

Erek Bilgici1, Falk Bruckmann2, Christof Gattringer1, and Christian Hagen2

  • 1Institut für Physik, FB Theoretische Physik, Universität Graz, A-8010 Graz, Austria
  • 2Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany

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Issue

Vol. 77, Iss. 9 — 1 May 2008

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