Complete Form of Fermion Self-energy in NJL Model with External Magnetic Field

TL;DR

This paper discusses the complete form of fermion self-energy in the NJL model under an external magnetic field, providing detailed theoretical insights into the model's behavior.

Contribution

It offers a comprehensive derivation of the fermion self-energy in the NJL model with magnetic fields, extending previous partial results.

Findings

Detailed expression for fermion self-energy in magnetic fields

Insights into magnetic catalysis effects

Foundation for further non-perturbative studies

Abstract

The author has consulted with us to withdraw this version from arXiv, and we both reach a consensus agreement. So we would like withdraw this paper from arXiv. For the detail of this paper and following update, one can refer to arXiv:1802.09942, which is uploaded by the author himself.