Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 5, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP05(2012)102
Keywords
Gauge-gravity correspondence; Holography and condensed matter physics (AdS/CMT); Discrete and Finite Symmetries; Holography and quark-gluon plasmas
Categories
Funding
- NSERC, Canada
- DFG (Deutsche Forschungsgemeinschaft)
- US Department of Energy [DE-FGO2-96ER40956]
- European Union [FP7-REGPOT-2008-1-CreteHEPCosmo-228644]
- Taub foundation
- Israeli Science Foundation (ISF) [495/11]
- Bi-national Science Foundation (BSF) [2014350]
- Aspen Center for Physics
- Galileo Galilei Institute in Florence
- Kavli Institute for Theoretical Physics
- Laboratoire de Physique Theorique at the Ecole Normale Superieure
- Lorentz Center at the University of Leiden
- Perimeter Institute for Theoretical Physics
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We study relativistic hydrodynamics of normal fluids in two spatial dimensions. When the microscopic theory breaks parity, extra transport coefficients appear in the hydrodynamic regime, including the Hall viscosity, and the anomalous Hall conductivity. In this work we classify all the transport coefficients in first order hydrodynamics. We then use properties of response functions and the positivity of entropy production to restrict the possible coefficients in the constitutive relations. All the parity-breaking transport coefficients are dissipationless, and some of them are related to the thermodynamic response to an external magnetic field and to vorticity. In addition, we give a holographic example of a strongly interacting relativistic. fluid where the parity-violating., transport coefficients are computable.
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