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• W4317941331 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-$mathcal{PT}$-symmetric pseudoscalar bilinear $overline{ensuremath{psi}}{ensuremath{gamma}}_{5}ensuremath{psi}$ and the $mathcal{PT}$-symmetric pseudovector bilinear $i{B}_{ensuremath{nu}}overline{ensuremath{psi}}{ensuremath{gamma}}_{5}{ensuremath{gamma}}^{ensuremath{nu}}ensuremath{psi}$, 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 $|B|/{B}_{0}$ 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 $I=ensuremath{epsilon}ensuremath{-}3p$ 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." @default.
• W4317941331 created "2023-01-25" @default.
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• W4317941331 date "2023-01-25" @default.
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• W4317941331 title "Thermodynamic properties of non-Hermitian Nambu–Jona-Lasinio models" @default.
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• W4317941331 doi "https://doi.org/10.1103/physrevd.107.016015" @default.
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