Phase diagram evolution at finite coupling in strong coupling lattice QCD

Kohtaroh Miura, Takashi Z. Nakano, Akira Ohnishi, and Noboru Kawamoto
Phys. Rev. D 80, 074034 – Published 28 October 2009

Abstract

We investigate the chiral phase transition in the strong coupling lattice QCD at finite temperature and density with finite coupling effects. We adopt one species of staggered fermion, and develop an analytic formulation based on strong coupling and cluster expansions. We derive the effective potential as a function of two order parameters, the chiral condensate σ and the quark number density ρq, in a self-consistent treatment of the next-to-leading order (NLO) effective action terms. NLO contributions lead to modifications of quark mass, chemical potential, and the quark wave function renormalization factor. While the ratio μc(T=0)/Tc(μ=0) is too small in the strong coupling limit, it is found to increase as β=2Nc/g2 increases. The critical point is found to move in the lower T direction as β increases. Since the vector interaction induced by ρq is shown to grow as β, the present trend is consistent with the results in Nambu-Jona-Lasinio models. The interplay between two order parameters leads to the existence of partially chiral restored matter, where effective chemical potential is automatically adjusted to the quark excitation energy.

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  • Received 5 August 2009

DOI:https://doi.org/10.1103/PhysRevD.80.074034

©2009 American Physical Society

Authors & Affiliations

Kohtaroh Miura1,*, Takashi Z. Nakano2, Akira Ohnishi1, and Noboru Kawamoto3

  • 1Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan
  • 2Department of Physics, Faculty of Science, Kyoto University, Kyoto 606-8502, Japan
  • 3Department of Physics, Faculty of Science, Hokkaido University, Sapporo 060-0810, Japan

  • *miura@yukawa.kyoto-u.ac.jp

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Vol. 80, Iss. 7 — 1 October 2009

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