Fermion and meson mass generation in non-Hermitian Nambu--Jona-Lasinio models

We investigate the effects of non-Hermiticity on interacting fermionic systems. We do this by including non-Hermitian bilinear terms into the 3+1 dimensional Nambu--Jona-Lasinio (NJL) model. Two possible bilinear modifications give rise to \mathcal{PT} symmetric theories; this happens when the standard NJL model is extended either by a pseudovector background field... Show more