Correlations among discontinuities in QCD phase diagram

Details Correlations among discontinuities in QCD phase diagram Correlations among discontinuities in QCD phase diagram

2008-04-22

arxiv.org/abs/0804.3557v4

J. Phys. G36: 105001, 2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, 7 figures, version accepted for publication in J. Phys. G

Scientific paper

10.1088/0954-3899/36/10/105001

We show, in general, that when a discontinuity of either zeroth-order or first-order takes place in an order parameter such as the chiral condensate, discontinuities of the same order emerge in other order parameters such as the Polyakov loop. A condition for the coexistence theorem to be valid is clarified. Consequently, only when the condition breaks down, zeroth-order and first-order discontinuities can coexist on a phase boundary. We show with the Polyakov-loop extended Nambu--Jona-Lasinio model that such a type of coexistence is realized in the imaginary chemical potential region of the QCD phase diagram. We also present examples of coexistence of the same-order discontinuities in the real chemical potential region.

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