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Article Dans Une Revue Phys.Rev.D Année : 2021

Spontaneous non-Hermiticity in the Nambu–Jona-Lasinio model

Maxim N. Chernodub
Alberto Cortijo
  • Fonction : Auteur
Marco Ruggieri
  • Fonction : Auteur

Résumé

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.
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Dates et versions

hal-02940002 , version 1 (09-11-2020)

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Maxim N. Chernodub, Alberto Cortijo, Marco Ruggieri. Spontaneous non-Hermiticity in the Nambu–Jona-Lasinio model. Phys.Rev.D, 2021, 104 (5), pp.056023. ⟨10.1103/PhysRevD.104.056023⟩. ⟨hal-02940002⟩
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