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Parity-Violating Hydrodynamics in 2+1 Dimensions

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arxiv 1112.4498 v1 pith:JRQZSTLH submitted 2011-12-19 hep-th cond-mat.str-el

classification hep-thcond-mat.str-el
keywords coefficientstransporthydrodynamicsdimensionshallparity-violatingrelativisticresponse
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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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Cited by 3 Pith papers

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  2. Effective Field Theories for Material Media

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    Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.

  3. Boulder Lectures on Thermal Dynamics and Hydrodynamic EFTs

    hep-th 2026-06 unverdicted novelty 2.0 of 10

    Lectures summarizing the construction of hydrodynamic EFTs through strong-to-weak symmetry breaking, with examples from spin chains to relativistic QFTs and UV/IR constraints on transport coefficients.

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