A Possible Higher Order Correction to the chiral Vortical Conductivity in a Gauge Field Plasma

Abstract

The two loop contributions to the chiral vortical conductivity are considered. The Kubo formula together with the anomalous Ward identity of the axial vector current suggest that there may be a nonzero correction to the coefficient of the $T^2$ term of the conductivity.

Figures (2)

• Figure 1: The two-loop diagrams for the chiral vortical conductivity
• Figure 2: The anomalous triangle and its metric perturbation. $\Pi_{\mu\alpha\beta}(K_1,K_2)$ in the text denotes the amputated part of (a) and $\Pi_{\mu\alpha\beta,\rho\lambda}(Q,K_1,K_2)$ the sum of amputated parts of (b-f), where ($\alpha$, $\beta$) refer the external photon lines with outgoing momenta ($K_1$, $K_2$), $\mu$ refers to the axial vector insertion with incoming momentum $Q$ and ($\rho$, $\lambda$) refers to the external graviton.