Observables in the 3 Flavor PNJL Model and their Relation to Eight Quark Interactions

B. Hiller; J. Moreira; A. A. Osipov; A. H. Blin

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arXiv · 1208.1047

Observables in the 3 Flavor PNJL Model and their Relation to Eight Quark Interactions

B. Hiller·J. Moreira·A. A. Osipov·A. H. Blin

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Abstract

Several relevant thermodynamic observables obtained within the (2+1) flavor and spin zero NJL and PNJL models with inclusion of the 't Hooft determinant and $8q$ interactions are compared with lattice-QCD (lQCD) results. In the case that a small ratio $R=\frac{μ_B}{T_c}\sim 3$ at the critical end point (CEP) associated with the hadron gas to quark-gluon plasma transition is considered, combined with fits to the lQCD data of the trace anomaly[1], subtracted light quark condensate[1] and continuum extrapolated data of the light quark chiral condensate[2], a reasonable description for the PNJL model is obtained with a strength $g_1\sim 5...6 \times 10^3$ GeV$^{-8}$ of the $8q$ interactions. The dependence on the further model parameters is discussed.

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B. Hiller, J. Moreira, A. A. Osipov, A. H. Blin. 2012-08-05. Observables in the 3 Flavor PNJL Model and their Relation to Eight Quark Interactions. https://arxiv.org/abs/1208.1047

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