The Euler current and relativistic parity odd transport

Autor:	Golkar, Siavash, Roberts, Matthew M., Son, Dam T.
Rok vydání:	2014
Předmět:	High Energy Physics - Theory Condensed Matter - Mesoscale and Nanoscale Physics
Druh dokumentu:	Working Paper
DOI:	10.1007/JHEP04(2015)110
Popis:	For a spacetime of odd dimensions endowed with a unit vector field, we introduce a new topological current that is identically conserved and whose charge is equal to the Euler character of the even dimensional spacelike foliations. The existence of this current allows us to introduce new Chern-Simons-type terms in the effective field theories describing relativistic quantum Hall states and (2+1) dimensional superfluids. Using effective field theory, we calculate various correlation functions and identify transport coefficients. In the quantum Hall case, this current provides the natural relativistic generalization of the Wen-Zee term, required to characterize the shift and Hall viscosity in quantum Hall systems. For the superfluid case this term is required to have nonzero Hall viscosity and to describe superfluids with non s-wave pairing. Comment: 24 pages. v2: added citations, corrected minor typos in appendix
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1407.7540 Zobrazit plný text záznamu View this record from Arxiv