Abstract
In (1 + 1) dimensional hydrodynamics in presence of the gravitational anomalies, the constitutive relations for the stress tensor contain the response parameters \( {{\overline{C}}_1} \), \( {{\overline{C}}_2} \) and the gravitation anomaly coefficients c g , c w . Here it is shown that they are related by the two relations \( {{\overline{C}}_1} \) = 4π 2 c w and \( {{\overline{C}}_2} \) = 8π2c g . This agrees with the earlier findings. I argue that the Israel-Hartle-Hawking vacuum is the natural boundary condition which leads to such relation. Finally, the possible physical implications are discussed.
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Majhi, B.R. Connection between response parameter and anomaly coefficient in two dimensional anomalous fluid. J. High Energ. Phys. 2014, 1 (2014). https://doi.org/10.1007/JHEP03(2014)001
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DOI: https://doi.org/10.1007/JHEP03(2014)001