Spontaneous non-Hermiticity in the Nambu–Jona-Lasinio model - Archive ouverte HAL Access content directly
Journal Articles Phys.Rev.D Year : 2021

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

Maxim N. Chernodub
Alberto Cortijo
  • Function : Author
Marco Ruggieri
  • Function : Author

Abstract

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.
Fichier principal
Vignette du fichier
2008.11629v2.pdf (2.17 Mo) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

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

Identifiers

Cite

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⟩
103 View
53 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More