Conformal Anomalies in Hydrodynamics

Abstract

We study the effect of conformal anomalies on the hydrodynamic description of conformal field theories in even spacetime dimensions. We consider equilibrium curved backgrounds characterized by a time-like Killing vector and construct a local low energy effective action that captures the conformal anomalies. Using as a special background the Rindler spacetime we derive a formula for the anomaly effect on the hydrodynamic pressure. We find that this anomalous effect is only due to the Euler central charge.

19 pages; v3: improved discussion in Section II C, fixed typos; v2: significant update- results generalized to any dimension, references added

References in corpus (5)

• Nonlinear Fluid Dynamics from Gravity
• Gravitational Anomaly and Transport
• Relativistic Hydrodynamics with General Anomalous Charges
• Entropy Current in Conformal Hydrodynamics
• Spontaneous Breaking of Conformal Invariance and Trace Anomaly Matching

Cited by in corpus (12)

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• Universal Asymptotics for High Energy CFT Data
• Lifshitz Field Theories at Non-Zero Temperature, Hydrodynamics and Gravity
• Kubo formulas for thermodynamic transport coefficients
• Second-order partition function of a non-interacting chiral fluid in 3+1 dimensions
• Equilibrium thermodynamic susceptibilities for a dense degenerate Dirac field
• Holography and $Ad{S}_2$ gravity with a dynamical aether
• Anomalous transport in second order hydrodynamics