Second order transport from anomalies
Abstract
We study parity odd transport at second order in derivative expansion for a non-conformal charged fluid. We see that there are 27 parity odd transport coefficients, of which 12 are non-vanishing in equilibrium. We use the equilibrium partition function method to express 7 of these in terms of the anomaly, shear viscosity, charge diffusivity and thermodynamic functions. The remaining 5 are constrained by 3 relations which also involve the anomaly. We derive Kubo formulae for 2 of the transport coefficients and show these agree with that derived from the equilibrium partition function.
Cite
@article{arxiv.1305.0340,
title = {Second order transport from anomalies},
author = {Sayantani Bhattacharyya and Justin R. David and Somyadip Thakur},
journal= {arXiv preprint arXiv:1305.0340},
year = {2015}
}
Comments
Error in total number of independent parity odd transport coefficients has been corrected from 29 to 27. Results for the relation of the transport coefficients to the anomaly unchanged. Added a section on chiral dispersion relations, includes additional references. Added two appendices and corrected some typos. 34 pages