Anomaly inflow and thermal equilibrium

Abstract

Using the anomaly inflow mechanism, we compute the flavor/Lorentz non-invariant contribution to the partition function in a background with a U(1) isometry. This contribution is a local functional of the background fields. By identifying the U(1) isometry with Euclidean time we obtain a contribution of the anomaly to the thermodynamic partition function from which hydrostatic correlators can be efficiently computed. Our result is in line with, and an extension of, previous studies on the role of anomalies in a hydrodynamic setting. Along the way we find simplified expressions for Bardeen-Zumino polynomials and various transgression formulae

72 pages, 1 figure; v2: slight change to abstract, updated references

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• Gravitational Anomaly and Transport
• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Relativistic Hydrodynamics with General Anomalous Charges
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
• Large rotating AdS black holes from fluid mechanics
• Chern-Simons terms from thermal circles and anomalies
• Hydrodynamics in 1+1 dimensions with gravitational anomalies

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