Comments on Hall transport from effective actions
Comments on Hall transport from effective actions
We consider parity-odd transport in 2+1 dimensional charged fluids restricting attention to the class of non-dissipative fluids. We show that there is a two parameter family of such non-dissipative fluids which can be derived from an effective action, in contradistinction with a four parameter family that can be derived from an entropy current analysis. The effective action approach allows us to extract the adiabatic transport data, in particular the Hall viscosity and Hall conductivity amongst others, in terms of the thermodynamic functions that enter as 'coupling constants'. Curiously, we find that Hall viscosity is forced to vanish, whilst the Hall conductivity is generically a non-vanishing function of thermodynamic data determined in terms of the hydrodynamic couplings.
hep-th, gr-qc
Haehl, Felix M.
eb0d74fd-0d8b-4b1b-8686-79d43c2a3a5f
Rangamani, Mukund
c6e93885-0b7e-4e8c-92e5-56227da78a81
11 October 2013
Haehl, Felix M.
eb0d74fd-0d8b-4b1b-8686-79d43c2a3a5f
Rangamani, Mukund
c6e93885-0b7e-4e8c-92e5-56227da78a81
Haehl, Felix M. and Rangamani, Mukund
(2013)
Comments on Hall transport from effective actions.
JHEP, 2013 (10), [74].
(doi:10.1007/JHEP10(2013)074).
Abstract
We consider parity-odd transport in 2+1 dimensional charged fluids restricting attention to the class of non-dissipative fluids. We show that there is a two parameter family of such non-dissipative fluids which can be derived from an effective action, in contradistinction with a four parameter family that can be derived from an entropy current analysis. The effective action approach allows us to extract the adiabatic transport data, in particular the Hall viscosity and Hall conductivity amongst others, in terms of the thermodynamic functions that enter as 'coupling constants'. Curiously, we find that Hall viscosity is forced to vanish, whilst the Hall conductivity is generically a non-vanishing function of thermodynamic data determined in terms of the hydrodynamic couplings.
More information
Published date: 11 October 2013
Additional Information:
19 pages. v2: added refs and comments on connections with torsion. v3: typos fixed, published version. v4: added comment on Legendre transform
Keywords:
hep-th, gr-qc
Identifiers
Local EPrints ID: 471223
URI: http://eprints.soton.ac.uk/id/eprint/471223
ISSN: 1126-6708
PURE UUID: 91db02ab-e735-4156-8b47-9e7a1ee00773
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Date deposited: 01 Nov 2022 17:30
Last modified: 17 Mar 2024 04:14
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Contributors
Author:
Felix M. Haehl
Author:
Mukund Rangamani
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