Bonn 2010 – scientific programme

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T: Fachverband Teilchenphysik

T 13: QCD (Theorie) IV / Quantenfeldtheorie II

T 13.1: Group Report

Thursday, March 18, 2010, 16:45–17:05, HG XVI

(De-) confinement in Yang-Mills theories — •Astrid Eichhorn — Theoretische-Physikalisches Institut, Friedrich-Schiller-Universität Jena

We discuss the (de-)confinement phase transition in Yang-Mills theories. For a phase transition of second order the thermodynamical quantities are governed by universal critical exponents which are determined by the center of the underlying gauge group, as is the case for SU(2). On the other hand one expects a first-order phase transition for gauge groups of higher rank as the number of gluons above the critical temperature strongly increases and therefore does not allow for a continuous change in thermodynamical quantities. Based on functional Renormalisation Group studies, we discuss the order parameter for deconfinement, namely the Polyakov loop, and the critical temperature for various Yang-Mills theories. Our approach allows for a continuum study of non-perturbative dynamics and provides an insight into the relation between infrared gluon dynamics and quark confinement. In particular, we show our results for the Polyakov loop for SU(N) (N=2,3,...,12), Sp(2)- and E(7).