Quark confinement from color confinement

We relate quark confinement, as measured by the Polyakov-loop order parameter, to color confinement, as described by the Kugo-Ojima/Gribov-Zwanziger scenario. We identify a simple criterion for quark confinement based on the IR behaviour of ghost and gluon propagators, and compute the order-paramete...

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Bibliographic Details
Main Authors: Braun, Jens (Author) , Gies, Holger (Author) , Pawlowski, Jan M. (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 2009
In: Arxiv

Online Access:Verlag, kostenfrei, Volltext: http://arxiv.org/abs/0708.2413
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Author Notes:Jens Braun, Holger Gies, and Jan M. Pawlowski
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Summary:We relate quark confinement, as measured by the Polyakov-loop order parameter, to color confinement, as described by the Kugo-Ojima/Gribov-Zwanziger scenario. We identify a simple criterion for quark confinement based on the IR behaviour of ghost and gluon propagators, and compute the order-parameter potential from the knowledge of Landau-gauge correlation functions with the aid of the functional RG. Our approach predicts the deconfinement transition in quenched QCD to be of first order for SU(3) and second order for SU(2) -- in agreement with general expectations. As an estimate for the critical temperature, we obtain T_c=284MeV for SU(3).
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