Ward Identities for Hall Transport
High Energy Physics - Theory
2015-06-22 v3 Strongly Correlated Electrons
Abstract
We derive quantum field theory Ward identities based on linear area preserving and conformal transformations in 2+1 dimensions. The identities relate Hall viscosities, Hall conductivities and the angular momentum. They apply both for relativistic and non relativistic systems, at zero and at finite temperature. We consider systems with or without translation invariance, and introduce an external magnetic field and viscous drag terms. A special case of the identities yields the well known relation between the Hall conductivity and half the angular momentum density.
Cite
@article{arxiv.1407.2616,
title = {Ward Identities for Hall Transport},
author = {Carlos Hoyos and Bom Soo Kim and Yaron Oz},
journal= {arXiv preprint arXiv:1407.2616},
year = {2015}
}
Comments
35 pages, 1 figure, minor changes. Published version