Constitutive relations and response parameters in two dimensional hydrodynamics with gauge and gravitational anomalies

Abstract

We obtain the constitutive relations for the stress tensor and gauge current in $(1+1)$ dimensional hydrodynamics in the presence of both gauge and gravitational (conformal as well as diffeomorphism) anomalies. The relations between response parameters and anomaly coefficients are also found. The role of the Israel-Hartle-Hawking vacuum is emphasized. Finally, in the absence of gauge fields, earlier results obtained by a hydrodynamic expansion are reproduced.

latex, 7 pages, no figures; minor changes, to appear in Phys. Lett. B

References in corpus (15)

• Hydrodynamics with Triangle Anomalies
• Gravitational Anomaly and Transport
• Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
• Towards hydrodynamics without an entropy current
• Relativistic Hydrodynamics with General Anomalous Charges
• Thermodynamics, gravitational anomalies and cones
• Gravitational Anomalies and Thermal Hall effect in Topological Insulators
• Connecting anomaly and tunneling methods for Hawking effect through chirality
• Anomalies and time reversal invariance in relativistic hydrodynamics: the second order and higher dimensional formulations
• Effective actions for anomalous hydrodynamics
• Lifshitz Hydrodynamics
• Hawking Radiation, Covariant Boundary Conditions and Vacuum States
• Two dimensional hydrodynamics with gauge and gravitational anomalies
• Exact results in two dimensional chiral hydrodynamics with gravitational anomalies
• Connection between response parameter and anomaly coefficient in two dimensional anomalous fluid

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• Vacuum condition and the relation between response parameter and anomaly coefficient in (1+3) dimensions