Thermodynamic properties of non-Hermitian Nambu-Jona-Lasinio models

• Verfasst von: Felski, Alexander [VerfasserIn]
• Verfasst von: Beygi, Alireza [VerfasserIn]
• Verfasst von: Klevansky, Sandra Pamela [VerfasserIn]
• Titel: Thermodynamic properties of non-Hermitian Nambu-Jona-Lasinio models
• Verf.angabe: Alexander Felski, Alireza Beygi, and S.P. Klevansky
• E-Jahr: 2023
• Jahr: 25 January 2023
• Umfang: 26 S.
• Fussnoten: Gesehen am 19.04.2023
• Titel Quelle: Enthalten in: Physical review
• Ort Quelle: Ridge, NY : American Physical Society, 2016
• Jahr Quelle: 2023
• Band/Heft Quelle: 107(2023) vom: Jan., Artikel-ID 016015, Seite 1-26
• ISSN Quelle: 2470-0029
• DOI: doi:10.1103/PhysRevD.107.016015
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1843144964

Abstract

We investigate the impact of non-Hermiticity on the thermodynamic properties of interacting fermions by examining bilinear extensions to the 3+1-dimensional SU(2)-symmetric Nambu-Jona-Lasinio (NJL) model of quantum chromodynamics at finite temperature and chemical potential. The system is modified through the anti-PT-symmetric pseudoscalar bilinear ¯ψγ5ψ and the PT-symmetric pseudovector bilinear iBν¯ψγ5γνψ, introduced with a coupling g. Beyond the possibility of dynamical fermion mass generation at finite temperature and chemical potential, our findings establish model-dependent changes in the position of the chiral phase transition and the critical end point. These are tunable with respect to g in the former case, and both g and |B|/B0 in the latter case, for both lightlike and spacelike fields. Moreover, the behavior of the quark number, entropy, pressure, and energy densities signal a potential fermion or antifermion excess compared to the standard NJL model, due to the pseudoscalar and pseudovector extension, respectively. In both cases, regions with negative interaction measure I=ε−3p are found. Future indications of such behaviors in strongly interacting fermion systems, for example, in the context of neutron star physics, may point toward the presence of non-Hermitian contributions. These trends provide a first indication of curious potential mechanisms for producing non-Hermitian baryon asymmetry. In addition, the formalism described in this study is expected to apply more generally to other Hamiltonians with four-fermion interactions, and thus, the effects of the non-Hermitian bilinears are likely to be generic.