Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2009-11-18
Prog. Theor. Phys. 123 (2010), 825-851
Physics
High Energy Physics
High Energy Physics - Lattice
27 pages, 10 figures. v2; More dicussions added, figures improved, and typos corrected
Scientific paper
10.1143/PTP.123.825
We derive an analytic expression of the effective potential at finite temperature (T) and chemical potential (mu) in the strong-coupling lattice QCD for color SU(3) including next-to-next-to-leading order (NNLO) effects in the strong coupling expansion. NNLO effective action terms are systematically evaluated in the leading order of the large dimensional (1/d) expansion, and are found to come from some types of connected two plaquette configurations. We apply the extended Hubbard-Stratonovich transformation and a gluonic dressed fermion technique to the effective action, and obtain the effective potential as a function of T, mu, and two order parameters; chiral condensate and a vector potential field. The next-to-leading order (NLO) and NNLO effects result in modifications of the wave function renormalization factor, quark mass and chemical potential. We find that T_{c,mu=0} and mu_{c,T=0} are similar to the NLO results, whereas the position of the critical point is sensitive to NNLO corrections.
Miura Kohtaroh
Nakano Takashi Z.
Ohnishi Akira
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