Notes on relativistic superfluidity and gauge/string duality
arXiv:1106.4154
Abstract
We consider selected topics of relativistic superfluidity within gauge/string duality. Non-relativistically, the only conservation law relevant to the hydrodynamic approximation is the energy-momentum conservation. Relativistically, one has to introduce an extra conserved U(1) current and an extra three-dimensional scalar field which is condensed. Finding out a proper U(1) symmetry becomes a crucial point. We emphasize that in dual models there do arise extra U(1) symmetries associated with wrapping of the strings around (extra) compact directions in Euclidean space-time. Moreover, if the geometry associated with an extra compact dimension is cigar-like then the corresponding U(1) symmetry could well be spontaneously broken. The emerging Goldstone particle survives in the hydrodynamic limit. A specific point is that the chemical potential conjugated with the corresponding U(1) charge is vanishing. Within the standard approach the vanishing chemical potential implies no superfluidity. We argue that an exotic liquid, introduced recently in the literature, with vanishing energy density and non-vanishing pressure represents a viable description of the liquid associated with 3d Goldstone particles in Euclidean space-time. Since it lives on the stretched membrane, it describes energy-momentum transport in the deep infrared. We discuss briefly possible applications to the quark-gluon plasma.
22 pages
References in corpus (27)
- Lectures on holographic methods for condensed matter physics
- Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
- Lectures on Holographic Superfluidity and Superconductivity
- What RHIC Experiments and Theory tell us about Properties of Quark-Gluon Plasma ?
- Nearly Perfect Fluidity: From Cold Atomic Gases to Hot Quark Gluon Plasmas
- Theta Dependence In The Large N Limit Of Four-Dimensional Gauge Theories
- Holographic model of superfluidity
- Self Gravitating Fundamental Strings
- From Navier-Stokes To Einstein
- An Analytic Holographic Superconductor
- Things Fall Apart: Topology Change from Winding Tachyons
- Dissipative superfluid dynamics from gravity
- The Inside Story: Quasilocal Tachyons and Black Holes
- How Wide is the Transition to Deconfinement?
- Blackhole/String Transition for the Small Schwarzschild Blackhole of and Critical Unitary Matrix Models
- Sound modes in holographic superfluids
- Center-Symmetric Effective Theory for High-Temperature SU(2) Yang-Mills Theory
- Random walks and the Hagedorn transition
- Holographic U(1)_A and String Creation
- Towards understanding structure of the monopole clusters
- Magnetic strings in Lattice QCD as Nonabelian Vortices
- On Classification of QCD defects via holography
- On the anomalous superfluid hydrodynamics
- Manifestations of magnetic vortices in equation of state of Yang-Mills plasma
- 60 years of Broken Symmetries in Quantum Physics (From the Bogoliubov Theory of Superfluidity to the Standard Model)
- Hydrodynamic fluctuations in relativistic superfluids
- Decoherence - Fluctuation Relation and Measurement Noise