Odd Parity Transport In Non-Abelian Superfluids From Symmetry Locking
arXiv:1404.7507 · doi:10.1007/JHEP10(2014)127
Abstract
We consider relativistic non-Abelian superfluids, where the expectation value of the global symmetry currents relate space and internal indices, thus creating a "locked" phase. Locking a superfluid with SU(2) internal symmetry in 2+1 dimensions breaks parity spontaneously, and introduces parity-odd terms in the constitutive relations. We show that there are qualitatively different extensions of the rest frame locking to non-zero velocities. We construct the resulting superfluid hydrodynamics up to the first derivative order. Using an expansion close to the critical point, we estimate the ratio of the Hall viscosity and the angular momentum density. Our general hydrodynamic results are compatible with the holographic p-wave calculations in arXiv:1311.4882.
44 pages, updated references, new appendix with discussion about entropy current, conclusions unchanged. Published version
References in corpus (8)
- Color superconductivity in dense quark matter
- Relativistic Hydrodynamics with General Anomalous Charges
- Colorful horizons with charge in anti-de Sitter space
- Hall viscosity, topological states and effective theories
- Lorentz shear modulus of a two-dimensional electron gas at high magnetic field
- "Hall viscosity" and intrinsic metric of incompressible fractional Hall fluids
- Incompressible Navier-Stokes Equations from Einstein Gravity with Chern-Simons Term
- Hall Viscosity and Angular Momentum in Gapless Holographic Models
Cited by in corpus (8)
- Noncommuting conserved charges in quantum thermodynamics and beyond
- Horava-Lifshitz Gravity and Effective Theory of the Fractional Quantum Hall Effect
- Hydrodynamic Modes of a holographic wave superfluid
- Ward Identities for Hall Transport
- Holographic Schwinger-Keldysh field theory of SU(2) diffusion
- Non-equilibrium dynamics in Holography
- Boost-invariant superfluid flows
- Constitutive relations of a chiral hadronic fluid