Chern-Simons terms from thermal circles and anomalies
arXiv:1311.2935 · doi:10.1007/JHEP05(2014)110
Abstract
We compute the full contribution of flavor and (or) Lorentz anomalies to the thermodynamic partition function. Apart from the Wess-Zumino consistency condition the Euclidean generating function must satisfy an extra requirement which we refer to as `consistency with the Euclidean vacuum.' The latter requirement fixes all Chern-Simons terms that arise in a particular Kaluza-Klein reduction of the theory. The solution to both conditions may be encoded in a `thermal anomaly polynomial' which we compute. Our construction fixes all the thermodynamic response parameters of a hydrodynamic theory associated with anomalies.
30 pages
References in corpus (9)
- Nonlinear Fluid Dynamics from Gravity
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- Gravitational Anomaly and Transport
- Chiral anomaly and local polarization effect from quantum kinetic approach
- Relativistic Hydrodynamics with General Anomalous Charges
- A condensed matter realization of the axial magnetic effect
- Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
- Large rotating AdS black holes from fluid mechanics
- Hydrodynamics in 1+1 dimensions with gravitational anomalies
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