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Two dimensional hydrodynamics with gauge and gravitational anomalies · Around

2013

Two dimensional hydrodynamics with gauge and gravitational anomalies

Banerjee, Rabin, Dey, Shirsendu, Majhi, Bibhas Ranjan et al.

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We present a new approach to discuss two dimensional chiral and non-chiral 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 non-chiral case do not take the ideal fluid form.
The constitutive relations in the presence of both gravity and gauge sectors are new.

Built on

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L. A. Gaume, P. Ginsparg “The structure of gauge and gravitational anomalies,” Annals of Phys. 161
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H. Leutwyler, “Gravitational Anomalies: A Soluble Two-dimensional Model,” Phys. Lett. B 153
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H. Banerjee, R. Banerjee, “The Currents And The Anomalies In Chiral Gauge Theories: Dynamical Approach In Higher Dimensions,” Phys. Lett. B 174
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H. Banerjee, R. Banerjee, P. Mitra, “Covariant And Consistent Anomalies In Even Dimensional Chiral Gauge Theories,” Z. Phys. C 32
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S. A. Fulling, “The Gravitational Anomaly: An Elementary, Coordinate Space Approach,” Gen. Rel. Grav. 18
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2009

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M. Rangamani, “Gravity and Hydrodynamics: Lectures on the fluid-gravity correspondence,” arXiv:0905.4352 [hep-th]

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S. Dubovsky, L. Hui, A. Nicolis, “Effective field theory for hydrodynamics: Wess-Zumino term and anomalies in two spacetime dimensions,” arXiv:1107.0732 [hep-th]

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Original

2013

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S. Jain, T. Sharma, “Anomalous charged fluids in 1+1d from equilibrium partition function,” JHEP 1301

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R. Banerjee, “Exact results in two-dimensional chiral hydrodynamics with gravitational anomalies,” Euro.Phys.J C 74

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