Abstract:
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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