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Two dimensional hydrodynamics with gauge and gravitational anomalies

Rabin Banerjee1,*, Shirsendu Dey1,†, Bibhas Ranjan Majhi2,3,‡, and Arpan Krishna Mitra1,§

  • 1S. N. Bose National Centre for Basic Sciences, JD Block, Sector III, Salt Lake, Kolkata 700098, India
  • 2IUCAA, Post Bag 4, Ganeshkhind, Pune University Campus, Pune 411 007, India
  • 3Racah Institute of Physics, Hebrew University of Jerusalem, Givat Ram, Jerusalem 91904, Israel

  • *rabin@bose.res.in
  • †shirsendu12@bose.res.in
  • ‡bibhas.majhi@mail.huji.ac.il
  • §arpan@bose.res.in
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Phys. Rev. D 89, 104013 – Published 8 May, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.104013

Abstract

We present a new approach to discuss two-dimensional chiral and nonchiral hydrodynamics with gauge and gravitational anomalies. Exact constitutive relations for the stress tensor and charge current are obtained. For the chiral theory, the constitutive relations may be put in the ideal (chiral) fluid form, whereas the constitutive relations corresponding to nonchiral case do not take the ideal fluid form. The constitutive relations in the presence of both gravity and gauge sectors are new. These expressions, in the absence of the gauge sector, reproduce the results obtained in the gradient expansion approach.

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Phys. Rev. D 89, 104013– Published 8 May, 2014
  • Received 30 January 2014

© 2014 American Physical Society

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