Non-Abelian anomalous (super)fluids in thermal equilibrium from differential geometry
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Anomalies in Field and String TheoriesThermal Field Theory
Mañes, J. L., Megías, E., Valle, M., & Vázquez-Mozo, M. Á. (2018). Non-Abelian anomalous (super) fluids in thermal equilibrium from differential geometry. Journal of High Energy Physics, 2018(11), 76.
SponsorshipThis work has been supported by Plan Nacional de Altas Energías Spanish MINECO grants FPA2015-64041-C2-1-P, FPA2015-64041-C2-2-P, and by Basque Government grant IT979-16. The research of E.M. is also supported by Spanish MINEICO and European FEDER funds grant FIS2017-85053-C2-1-P, Junta de Andalucía grant FQM-225, as well as by Universidad del País Vasco UPV/EHU through a Visiting Professor appointment and by Spanish MINEICO Ramón y Cajal Program
We apply differential geometry methods to the computation of the anomalyinduced 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 anomalyinduced gauge currents and energy-momentum tensor, providing explicit expressions for them.