Conformal Anomalies in Hydrodynamics

TL;DR

This paper investigates how conformal anomalies influence hydrodynamic behavior in conformal field theories, deriving a formula for the anomaly's impact on pressure in curved backgrounds, emphasizing the role of the Euler central charge.

Contribution

It introduces a local effective action capturing conformal anomalies in hydrodynamics and derives a specific anomaly-induced pressure correction in Rindler spacetime.

Findings

Anomalous effects are solely due to the Euler central charge.

Derived a formula for anomaly effects on pressure in curved backgrounds.

Established a connection between conformal anomalies and hydrodynamic properties.

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.