强耦合格点量子色动力学中的NLO和临界点演化
Phase diagram and critical point evolution in NLO and NNLO strong coupling lattice QCD
摘要：
研究了有限温度和密度下强耦合格点量子色动力学（SC-LQCD）中的手征相变。我们采用一种交错费米子，并发展了一个基于强耦合和集团展开的解析公式。在次领先阶（NLO）和次领先次领先阶（NNLO）有效作用量项的自洽处理中，我们导出了作为两个序参量，手征凝聚体σ和矢量势ω_τ的函数的有效势.有限耦合效应导致夸克质量、化学势和夸克波函数重整化因子的修正。有限耦合效应抑制了mu=0时的临界温度（T_{c,mu=0}），而T=0时的临界温度（mu_{c,T=0}）没有太大影响。NNLO修正对T_{c,mu=0}和mu_{c,T=0}的影响不显著，但相图的形状（包括临界点的位置）对NNLO效应很敏感。在非线性光学和非线性光学SC-LQCD中发现了部分手征恢复物质。
英文摘要：
We investigate the chiral phase transition in the strong coupling lattice QCD (SC-LQCD) 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 sigma and the vector potential ω_τ, in a self-consistent treatment of the next-to-leading order (NLO) and the next-to-next-to-leading order (NNLO) effective action terms. Finite coupling effects lead to modifications of quark mass, chemical potential and the quark wave function renormalization factor. Finite coupling effects suppress the critical temperature at mu=0 (T_{c,mu=0}), while critical temperature at T=0 (mu_{c,T=0}) is not affected much. NNLO corrections does not significantly affect T_{c,mu=0} and mu_{c,T=0}, but the phase diagram shape including the position of the critical point is sensitive to the NNLO effects. Partially chiral restored matter is found to exist in NLO and NNLO SC-LQCD.
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