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Comments on Hall transport from effective actions

  • Felix Haehl
  • Mukund Rangamani
Article

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.

Keywords

Thermal Field Theory Holography and quark-gluon plasmas Quantum Dissipative Systems Sigma Models 

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Copyright information

© SISSA, Trieste, Italy 2013

Authors and Affiliations

  1. 1.Centre for Particle Theory & Department of Mathematical Sciences, Science LaboratoriesDurhamU.K

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