Implications of imaginary chemical potential for model building of QCD

2016/03/16 by Kouji Kashiwa, Kashiwa, Kouji
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.1603.04958

7 pages, 4 figures

arxiv created 2016/03/16 · arxiv updated 2016/03/17

Abstract

Properties of QCD at finite imaginary chemical potential are revisited to utilize for the model building of QCD in low energy regimes. For example, the electric holonomy which is closely related to the Polyakov-loop drastically affects thermodynamic quantities beside the Roberge-Weiss transition line. To incorporate several properties at finite imaginary chemical potential, it is important to introduce the holonomy effects to the coupling constant of effective models. This extension is possible by considering the entanglement vertex. We show justifications of the entanglement vertex based on the derivation of the effective four-fermi interaction in the Nambu--Jona-Lasinio model and present its general form with the local approximation. To discuss how to remove model ambiguities in the entanglement vertex, we calculate the chiral condensate with different ℤ₃ sectors and the dual quark condensate.

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