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Non-Abelian anomalous (super)fluids in thermal equilibrium from differential geometry

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A bstractWe apply differential geometry methods to the computation of the anomaly-induced hydrodynamic equilibrium partition function. Implementing the imaginary-time prescription on the Chern-Simons effective action on a stationary background, we… Click to show full abstract

A bstractWe apply differential geometry methods to the computation of the anomaly-induced hydrodynamic equilibrium partition function. Implementing the imaginary-time prescription on the Chern-Simons effective action on a stationary background, we obtain general closed expressions for both the invariant and anomalous part of the partition function. This is applied to the Wess-Zumino-Witten action for Goldstone modes, giving the equilibrium partition function of superfluids. In all cases, we also study the anomaly-induced gauge currents and energy-momentum tensor, providing explicit expressions for them.

Keywords: non abelian; partition function; differential geometry; geometry; abelian anomalous; anomalous super

Journal Title: Journal of High Energy Physics
Year Published: 2018

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