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Abstract
We use the Ward identities corresponding to general linear transformations, and derive relations between transport coefficients of (2 + 1)-dimensional systems. Our analysis includes relativistic and Galilean invariant systems, as well as systems without boost invariance such as Lifshitz theories. We consider translation invariant, as well as broken translation invariant cases, and include an external magnetic field. Our results agree with effective theory relations of incompressible Hall fluid, and with holographic calculations in a magnetically charged black hole background.
Document Type
Article
Publication Date
3-2015
Digital Object Identifier (DOI)
http://dx.doi.org/10.1007/JHEP03(2015)164
Funding Information
Article funded by SCOAP3.
Repository Citation
Hoyos, Carlos; Kim, Bom Soo; and Oz, Yaron, "Ward Identities for Transport in 2+1 Dimensions" (2015). Physics and Astronomy Faculty Publications. 347.
https://uknowledge.uky.edu/physastron_facpub/347
Notes/Citation Information
Published in Journal of High Energy Physics, v. 2015, no. 3, article 164, p. 1-17.
Open Access, © The Authors.
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.