Dual quark condensate and dressed Polyakov loops

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 clas...

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Bibliographic Details
Published in:arXiv.org 2008-04
Main Authors: Bilgici, Erek, Bruckmann, Falk, Gattringer, Christof, Hagen, Christian
Format: Article
Language:English
Subjects:
Boundary conditions
Condensates
Fermions
Fourier transforms
Lattice vibration
Order parameters
Phase transitions
Quantum chromodynamics
Quarks
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0801.4051