强作用物质中的非均匀手征凝聚

项目名称： 强作用物质中的非均匀手征凝聚

项目编号： No.11305067

项目类型： 青年科学基金项目

立项/批准年度： 2014

项目学科： 数理科学和化学

项目作者： 冯波

作者单位： 华中科技大学

项目金额： 22万元

中文摘要： 在中等密度的夸克物质中，除了常规的夸克与反夸克形成的各向同性的手征凝聚和夸克与夸克配对形成的色超导凝聚之外，还可能存在夸克与空穴形成的非均匀的手征凝聚，如手征密度波等。针对目前QCD有效模型对非均匀的手征凝聚的研究的不自洽性，导致其预言的非均匀的手征凝聚的形式与大Nc的分析结果不相同，本项目拟利用QCD的有效模型自洽地比较不同形式的非均匀的手征凝聚，确定中等密度的夸克物质中最稳定的非均匀的凝聚形式，进而研究其对QCD相结构的影响。同时联系当前外磁场中QCD相结构这一热点问题，尤其是格点QCD计算的手征对称性恢复的温度随磁场的变化关系与理论预言的磁场对手征凝聚的催化作用矛盾，研究非均匀的手征凝聚在外磁场中行为及其对外磁场环境中的QCD相结构的影响，并与格点QCD计算的结果比较，探讨解决格点模拟与理论预言产生矛盾的物理根源。

中文关键词： 量子色动力学；手征(反)磁催化效应；手征磁效应；玻色-爱因斯坦凝聚；格点量子色动力学

英文摘要： In a recent decade, the QCD phase structure at finite density and relatively low temperature is studied actively. While the quark Cooper-pair condensates should dominate at an asymptotically high density-limit because of the Cooper instability, the particle-hole condensates become competitive when the interaction is strong enough at moderate density，which are related to the inhomogeneous chiral codensate. It has been realized that by allowing the inhomogeneous chiral condesate vary only in one spatial dimension, the dimensionally reduced effective Hamiltonian becomes formally identical to that the (1＋1)-dimensional Gross-Nevue model, for which self-consistent solutions are already well known. Observing that, One finds the real one-dimensional modulation is the most favored inhomogeneous chiral condensate. However, recent large Nc analysis predicts the Quarkyonic matter, in which the chiral symmetry is broken by the complex chiral spirals. Taking into account that the inhomogeneous condensate breaks the rotational symmetry,there should be many additional channels appearing in the Nambu-Jona-Lasinio model as a consequence of the enlarged Feirz identity.In this respect, we should be able to treat the different inhomogeneous chiral condensates at equal footing and thus find the most favored one by comparing their di

英文关键词： Quantum Chromodynamics；(Inverse) magnetic catalysis；Chiral magnetic effect；Bose-Einstein condensation；Lattice QCD