Electric conductivity with the magnetic field and the chiral anomaly in a holographic QCD model
Kenji Fukushima🇯🇵 · Akitoshi Okutsu🇯🇵
We calculate the electric conductivity in deconfined QCD matter using a holographic QCD model, i.e., the Sakai-Sugimoto Model with varying magnetic field and chiral anomaly strength. After confirming that our estimated for is consistent with the lattice-QCD results, we study the case with in which the coefficient in the Chern-Simons term controls the chiral anomaly strength. Our results imply that the transverse conductivity, , is suppressed to be at as compared to the case when the temperature is fixed as . Since the Sakai-Sugimoto Model has massless fermions, the longitudinal conductivity, , with should diverge due to production of the matter chirality. Yet, it is possible to extract a regulated part out from with an extra condition to neutralize the matter chirality. This regulated quantity is interpreted as an Ohmic part of . We show that the longitudinal Ohmic conductivity increases with increasing for small , while it is suppressed with larger for physical due to anomaly induced interactions.