Electrical conductivity of hadronic matter from different possible mesonic and baryonic loops

Electromagnetic current-current correlators in pionic and nucleonic medium have been evaluated in the static limit to obtain electrical conductivities for pion and nucleon components, respectively, where the former decreases and the latter increases with the variation of temperature T and baryon chemical potential μN. Therefore, total electrical conductivity of pion and nucleon system exhibits a valley structure in the T−μN plane. To get nondivergent and finite values of correlators, and finite thermal widths of medium constituents, the pion and nucleon have been considered, where the thermal widths have been determined from the in-medium scattering probabilities of the pion and nucleon with other mesonic and baryonic resonances, based on the effective hadronic model. At μN=0, the results of the present work more or less agree with the results of earlier works and their finite μN extension shows a decreasing nature of electrical conductivity for the hadronic medium.