We discuss the proper definition for the chiral crossover at finite temperature, based on Goldstone's theorem. Different from the commonly used maximum change in chiral condensate, we propose defining the crossover temperature using the Mott transition of pseudo-Goldstone bosons, which, by definition, guarantees Goldstone's theorem. We analytically and numerically demonstrate this property in the frame of a Pauli-Villars regularized NJL model. In an external magnetic field, we find that the Mott transition temperature shows an inverse magnetic catalysis effect.

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以有限温度下的莫特跃迁为特征的手性交叉由 NSFC (11775165) 支持

我们根据戈德斯通定理讨论有限温度下手性交叉的正确定义。与常用的手性凝聚物的最大变化不同，我们建议使用伪戈德斯通玻色子的莫特跃迁来定义交叉温度，根据定义，这保证了戈德斯通定理。我们在 Pauli-Villars 正则化 NJL 模型的框架中分析和数值证明了这一特性。在外部磁场中，我们发现莫特转变温度表现出逆磁催化效应。