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



Autor: Kouji Kashiwa, Yuji Sakai, Hiroaki Kouno, Masayuki Matsuzaki, Masanobu Yahiro

Fuente: https://arxiv.org/







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