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Parity-violating hydrodynamics in 2 + 1 dimensions

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Abstract

We study relativistic hydrodynamics of normal fluids in two spatial dimensions. When the microscopic theory breaks parity, extra transport coefficients appear in the hy- drodynamic 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 coeffi- cients 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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Authors and Affiliations

  1. Department of Physics and Astronomy, University of Victoria, Victoria, BC, V8W 3P6, Canada

    Kristan Jensen, Pavel Kovtun & Adam Ritz

  2. Joseph Henry Laboratories, Princeton University, Princeton, NJ, 08544, U.S.A

    Matthias Kaminski

  3. Department of Physics, University of Washington, Seattle, WA, 98195, U.S.A

    Matthias Kaminski

  4. Crete Center for Theoretical Physics, Department of Physics, University of Crete, 71003, Heraklion, Greece

    René Meyer

  5. Department of Physics, Technion, Haifa, 32000, Israel

    Amos Yarom

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  1. Kristan Jensen
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Correspondence to Matthias Kaminski.

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Jensen, K., Kaminski, M., Kovtun, P. et al. Parity-violating hydrodynamics in 2 + 1 dimensions. J. High Energ. Phys. 2012, 102 (2012). https://doi.org/10.1007/JHEP05(2012)102

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