English

Nambu--Jona-Lasinio model in a parallel electromagnetic field

Nuclear Theory 2018-03-19 v2 High Energy Physics - Phenomenology High Energy Physics - Theory

Abstract

We explore the features of the UA(1)U_A(1) and chiral symmetry breaking of the Nambu--Jona-Lasinio model without the Kobayashi-Maskawa-'t Hooft determinant term in the presence of a parallel electromagnetic field. We show that the electromagnetic chiral anomaly can induce both finite neutral pion condensate and isospin-singlet pseudo-scalar η\eta condensate and thus modifies the chiral symmetry breaking pattern. In order to characterize the strength of the UA(1)U_A(1) symmetry breaking, we evaluate the susceptibility associated with the UA(1)U_A(1) charge. The result shows that the susceptibility contributed from the chiral anomaly is consistent with the behavior of the corresponding η\eta condensate. The spectra of the mesonic excitations are also studied.

Keywords

Cite

@article{arxiv.1801.01682,
  title  = {Nambu--Jona-Lasinio model in a parallel electromagnetic field},
  author = {Lingxiao Wang and Gaoqing Cao and Xu-Guang Huang and Pengfei Zhuang},
  journal= {arXiv preprint arXiv:1801.01682},
  year   = {2018}
}
R2 v1 2026-06-22T23:37:13.412Z