Non-Abelian Anomalous (Super)Fluids in Thermal Equilibrium from Differential Geometry

Abstract

We 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.

arXiv comment46 pages, LaTeX. v2: new subsection 5.3 included, discussion expanded, typos removed, and references added. It matches the version published in Journal of High Energy Physics

References in corpus (32)

• The Chiral Magnetic Effect
• Hydrodynamics with Triangle Anomalies
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• Constraints on Fluid Dynamics from Equilibrium Partition Functions
• Electromagnetic fields and anomalous transports in heavy-ion collisions --- A pedagogical review
• Towards hydrodynamics without an entropy current
• Experimental signatures of the mixed axial-gravitational anomaly in the Weyl semimetal NbP
• Notes on Anomaly Induced Transport
• Relativistic Hydrodynamics with General Anomalous Charges
• Thermodynamics, gravitational anomalies and cones
• Axial anomaly and magnetism of nuclear and quark matter
• The chiral magnetic effect in hydrodynamical approach
• Anomalous Chiral Transport in Heavy Ion Collisions from Anomalous-Viscous Fluid Dynamics
• Phase Diagram of N=4 Super-Yang-Mills Theory with R-Symmetry Chemical Potentials
• Anomalous Transport from Kubo Formulae
• Anomaly inflow and thermal equilibrium
• Effective actions for anomalous hydrodynamics
• Fluids, Anomalies and the Chiral Magnetic Effect: A Group-theoretic Formulation
• Views of the Chiral Magnetic Effect
• Wess-Zumino-Witten action and photons from the Chiral Magnetic Effect
• Constraints on Superfluid Hydrodynamics from Equilibrium Partition Functions
• Chiral Magnetic Effect in Hydrodynamic Approximation
• Anomalous Chiral Superfluidity
• Hydrodynamics with chiral anomaly and charge separation in relativistic heavy ion collisions
• Anomalous transport model study of chiral magnetic effects in heavy ion collisions
• Anomalies in Superfluids and a Chiral Electric Effect
• Chiral Vortical Effect in Superfluid
• Anomalies and WZW-term of two-flavour QCD
• An anomalous hydrodynamics for chiral superfluid
• A theory for non-Abelian superfluid dynamics
• On the anomalous superfluid hydrodynamics
• Odd Parity Transport In Non-Abelian Superfluids From Symmetry Locking

Cited by in corpus (10)

• Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation
• New developments in relativistic magnetohydrodynamics
• Non-Abelian anomalies in multi-Weyl semimetals
• Anomalous Currents and Constitutive Relations of a Chiral Hadronic Superfluid
• Chiral Torsional Effects in Anomalous Fluids in Thermal Equilibrium
• Anomalies and the Green-Schwarz Mechanism
• On Nieh-Yan Transport
• Anomaly-induced edge currents in hydrodynamics with parity anomaly
• Constitutive relations of a chiral hadronic fluid
• Anomalous Strangeness Transport