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

  • 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 ψ¯γ5ψ and the PT-symmetric pseudovector bilinear iBνψ¯γ5γνψ, 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.

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Metadaten
Author:Alexander FelskiORCiDGND, Alireza BeygiORCiDGND, Sandra Pamela KlevanskyORCiDGND
URN:urn:nbn:de:hebis:30:3-840197
URL:https://arxiv.org/abs/2210.15503v1
DOI:https://doi.org/10.48550/arXiv.2210.15503
ArXiv Id:http://arxiv.org/abs/2210.15503v1
Parent Title (English):arXiv
Publisher:arXiv
Document Type:Preprint
Language:English
Date of Publication (online):2022/12/27
Date of first Publication:2022/12/27
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2024/08/30
Tag:Chiral Symmetry; Effective Field Theories of QCD; Finite Temperature or Finite Density; Phase Transitions; Space-Time Symmetries
Issue:2210.15503v1
Edition:Version 1
Page Number:39
HeBIS-PPN:522134076
Institutes:Informatik und Mathematik / Informatik
Dewey Decimal Classification:0 Informatik, Informationswissenschaft, allgemeine Werke / 00 Informatik, Wissen, Systeme / 004 Datenverarbeitung; Informatik
5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Sammlungen:Universitätspublikationen
Licence (German):License LogoCreative Commons - CC BY - Namensnennung 4.0 International