论文标题
Nambu-Jona-Lasinio模型中的自发性非热性
Spontaneous Non-Hermiticity in Nambu-Jona-Lasinio model
论文作者
论文摘要
当标准的Hermitian Nambu-Jona-Lasinio（NJL）模型通过动力学生成反抗热的Yukawa耦合时，我们探讨了场景的物理后果。我们证明了表征NH基础状态的非障碍非甲状化（NH）对称群的出现。我们表明，NH组在弱耦合和强耦合方面都被自发破坏。在强耦合处的手性极限中，NH基态形成不均匀性，这打破了翻译对称性。在弱耦合下，NH基态是一个空间均匀的状态，位于PT-对称性和PT形成相之间的边界。在手性极限之外，最小的NJL模型不具有稳定的非铁态基态。
We explore the physical consequences of a scenario when the standard Hermitian Nambu--Jona-Lasinio (NJL) model spontaneously develops a non-Hermitian PT-symmetric ground state via dynamical generation of an anti-Hermitian Yukawa coupling. We demonstrate the emergence of a noncompact non-Hermitian (NH) symmetry group which characterizes the NH ground state. We show that the NH group is spontaneously broken both in weak- and strong-coupling regimes. In the chiral limit at strong coupling, the NH ground state develops inhomogeneity, which breaks the translational symmetry. At weak coupling, the NH ground state is a spatially uniform state, which lies at the boundary between the PT-symmetric and PT-broken phases. Outside the chiral limit, the minimal NJL model does not possess a stable non-Hermitian ground state.
