Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL(2) model
Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL(2) model
复制标题
手性 NJL(2) 模型热力学中的非均匀凝聚
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
M. Thies
中科院分区：
文献类型：
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作者：
G. Basar;G. Dunne;M. Thies
利用能隙差距方程的精确非均匀（结晶）凝聚解，分析了（1+1）维手征Gross-Neveu模型（NJL{sub 2}模型）在有限密度和非零温度下的热力学性质.该模型的连续手征对称性起着至关重要的作用，热力学导致了具有周期性螺旋凝聚体（“手征螺旋”）的破缺相，作为更一般的“扭曲扭结晶体”解的热力学优选极限的差距方程。这种情况应该与Gross-Neveu模型形成对比，Gross-Neveu模型具有离散的手征对称性，并且对于Gross-Neveu模型，相图具有周期性扭结晶体的结晶相。我们使用的分析，数值和金斯堡-朗道技术相结合，研究相图的各个部分。
We analyze the thermodynamical properties, at finite density and nonzero temperature, of the (1+1) dimensional chiral Gross-Neveu model (the NJL{sub 2} model), using the exact inhomogeneous (crystalline) condensate solutions to the gap equation. The continuous chiral symmetry of the model plays a crucial role, and the thermodynamics leads to a broken phase with a periodic spiral condensate, the 'chiral spiral,' as a thermodynamically preferred limit of the more general 'twisted kink crystal' solution of the gap equation. This situation should be contrasted with the Gross-Neveu model, which has a discrete chiral symmetry, and for which the phase diagram has a crystalline phase with a periodic kink crystal. We use a combination of analytic, numerical, and Ginzburg-Landau techniques to study various parts of the phase diagram.