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Renormalization Group Approach towards the QCD Phase Diagram

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arxiv hep-ph/0611191 v1 pith:LFXO34IX submitted 2006-11-14 hep-ph hep-thnucl-th

Renormalization Group Approach towards the QCD Phase Diagram

classification hep-ph hep-thnucl-th
keywords grouprenormalizationquarkanalysisdiagrammesonmodelphase
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The idea of the functional renormalization group and one-loop improved renormalization group flows are reviewed. The associated flow equations and nonperturbative approximations schemes for its solutions are discussed. These techniques are then applied to the strong interaction in the framework of an effective quark meson model which is introduced in great detail. The renormalization group analysis of the two flavor quark meson model is extended to finite temperature and quark chemical potential which allows for an analysis of the chiral phase diagram beyond the mean field approximation.

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