A new design for thermalised fermionic fields in the context of the quantum field theory

The fermionic field theory has recently been developed to describe fermionic fields in the presence of an external magnetic field. Based on this design, we propose a novel approach for deriving the thermalised fermionic fields. We consider a $N_f$ quantum field theory with a localized fermionic field. The theory is coupled to a gauge field of the same type as the fermionic field theory. We derive the thermalised fermionic fields by the standard thermalization procedure. We also discuss an application to the quantum field theory of the fermionic field theory.