有限密度QCD相结构的泛函重整化群研究

QCD matter at low temperature and finite density is the condensed matter at quark level. Due to the strong interaction in the matter, the quantum fluctuations become significant in the study. The functional renormalization group is a widely accepted method to treat fluctuations, especially for the phase transitions and the critical phenomena. We will extend the method to the investigation of QCD phase structure in the frame of perturbative QCD at high density and effective QCD models at intermediate density, including the critical phenomena around the phase transitions, the thermodynamic functions, the BCS-BEC crossover in color superconductor and Pion superfluid, and the possible exotic states. We hope to obtain the QCD phase diagram on the baryon density- isospin density plane and try to deeply understand the QCD phase transitions and QCD matter at finite density.

低温有限密度时的QCD物态是目前物质最深层次的凝聚态，由于夸克物质的强耦合特征，量子涨落效应十分显著。泛函重整化群是处理量子涨落的有效非微扰方法，特别是处理相变与临界现象。本项目将泛函重整化群方法应用到有限密度QCD物态，分别在微扰QCD和有效模型的框架内建立高密度和中等密度时处理各种凝聚的超出平均场理论方案，研究相变临界现象、热力学性质、色超导和Pion超流中的BCS-BEC过渡和奇特超导/超流态。希望得到重子数密度-同位旋密度平面上包含量子涨落效应的QCD相图，深入理解涨落对QCD相变及QCD物态的影响。