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Vacuum fluctuations and the thermodynamics of chiral models

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arxiv 1005.3166 v1 pith:DFAJDN4A submitted 2010-05-18 hep-ph

classification hep-ph
keywords vacuumchiralmodelsfermionfluctuationsloopmodelsusceptibilities
verification ladder T0 review T1 audit T2 compute T3 formal
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We consider the thermodynamics of chiral models in the mean-field approximation and discuss the relevance of the (frequently omitted) fermion vacuum loop. Within the chiral quark-meson model and its Polyakov loop extended version, we show that the fermion vacuum fluctuations can change the order of the phase transition in the chiral limit and strongly influence physical observables. We compute the temperature-dependent effective potential and baryon number susceptibilities in these models, with and without the vacuum term, and explore the cutoff and the pion mass dependence of the susceptibilities. Finally, in the renormalized model the divergent vacuum contribution is removed using the dimensional regularization.

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Cited by 8 Pith papers

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