Electrical conductivity of hadronic matter from different possible mesonic and baryonic thermal fluctuations

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 former decreases and latter one increases with the variation of temperature $T$ and baryon chemical potential $\mu_N$. Therefore, total electrical conductivity of pion and nucleon system exhibits a valley structure in the $T$-$\mu_N$ plane. To get non-divergent and finite values of correlators, finite thermal widths of medium constituents, pion and nucleon have been considered, where these thermal widths have been determined from the in-medium scattering probabilities of pion and nucleon with other mesonic and baryonic resonances, based on effective hadronic model. At $\mu_N=0$, the results of present work are more or less agrees with the results of earlier works and its finite $\mu_N$ extension show a decreasing nature of electrical conductivity for hadronic medium during spanning from freeze out line to quark-hadron transition line in $T$-$\mu_N$ plane.