Abstract
We study anomalous charged fluid in 2n-dimensions (n ≥ 2) up to sub-leading derivative order. Only the effect of gauge anomaly is important at this order. Using the Euclidean partition function formalism, we find the constraints on different sub-leading order transport coefficients appearing in parity-even and odd sectors of the fluid. We introduce a new mechanism to count different fluid data at arbitrary derivative order. We show that only the knowledge of independent scalar-data is sufficient to find the constraints. In appendix we further extend this analysis to obtain fluid data at sub-sub-leading order (where both gauge and gravitational anomaly contribute) for parity-odd fluid.
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N. Banerjee et al., Hydrodynamics from charged black branes, JHEP 01 (2011) 094 [arXiv:0809.2596] [INSPIRE].
J. Erdmenger, M. Haack, M. Kaminski and A. Yarom, Fluid dynamics of R-charged black holes, JHEP 01 (2009) 055 [arXiv:0809.2488] [INSPIRE].
D.T. Son and P. Surowka, Hydrodynamics with triangle anomalies, Phys. Rev. Lett. 103 (2009) 191601 [arXiv:0906.5044] [INSPIRE].
N. Banerjee et al., Constraints on fluid dynamics from equilibrium partition functions, JHEP 09 (2012) 046 [arXiv:1203.3544] [INSPIRE].
K. Jensen et al., Towards hydrodynamics without an entropy current, Phys. Rev. Lett. 109 (2012) 101601 [arXiv:1203.3556] [INSPIRE].
N. Banerjee, S. Dutta, S. Jain, R. Loganayagam and T. Sharma, Constraints on anomalous fluid in arbitrary dimensions, JHEP 03 (2013) 048 [arXiv:1206.6499] [INSPIRE].
S. Bhattacharyya, J.R. David and S. Thakur, Second order transport from anomalies, JHEP 01 (2014) 010 [arXiv:1305.0340] [INSPIRE].
K. Jensen, R. Loganayagam and A. Yarom, Anomaly inflow and thermal equilibrium, JHEP 05 (2014) 134 [arXiv:1310.7024] [INSPIRE].
L.D. Landau and E.M. Lifshitz, Fluid mechanics, Pergamon Press, U.K. (1987).
N. Banerjee, S. Dutta, A. Jain and D. Roychowdhury, Entropy current for non-relativistic fluid, JHEP 08 (2014) 037 [arXiv:1405.5687] [INSPIRE].
K. Jensen, R. Loganayagam and A. Yarom, Thermodynamics, gravitational anomalies and cones, JHEP 02 (2013) 088 [arXiv:1207.5824] [INSPIRE].
S. Bhattacharyya, Entropy current and equilibrium partition function in fluid dynamics, JHEP 08 (2014) 165 [arXiv:1312.0220] [INSPIRE].
S. Bhattacharyya, Entropy current from partition function: one example, JHEP 07 (2014) 139 [arXiv:1403.7639] [INSPIRE].
R. Loganayagam, Anomaly induced transport in arbitrary dimensions, arXiv:1106.0277 [INSPIRE].
R. Loganayagam and P. Surowka, Anomaly/transport in an ideal Weyl gas, JHEP 04 (2012) 097 [arXiv:1201.2812] [INSPIRE].
E. Megias and M. Valle, Second-order partition function of a non-interacting chiral fluid in 3+1 dimensions, JHEP 11 (2014) 005 [arXiv:1408.0165] [INSPIRE].
N. Banerjee and S. Dutta, Nonlinear hydrodynamics from flow of retarded Green’s function, JHEP 08 (2010) 041 [arXiv:1005.2367] [INSPIRE].
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ArXiv ePrint: 1502.00142
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Banerjee, N., Dutta, S. & Jain, A. Higher derivative corrections to charged fluids in 2n dimensions. J. High Energ. Phys. 2015, 10 (2015). https://doi.org/10.1007/JHEP05(2015)010
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DOI: https://doi.org/10.1007/JHEP05(2015)010