D-dependence of gap between critical temperatures in one-dimensional gauge theories
arXiv:1712.09261 · doi:10.1140/epjc/s10052-019-6941-y
Abstract
We investigate the dimensional dependence (D-dependence) of the difference (gap) between the critical temperatures associated with the uniform/non-uniform and non-uniform/gapped transitions in the large-N bosonic gauge theories with D matrix scalar fields on a circled space. We use the equations describing these critical temperatures given in the 1/D expansion arXiv:0910.4526. These transitions are related with Gregory-Laflamme instabilities in the gravities and Rayleigh-Plateau instabilities in the fluid dynamics, and qualitative similarities between these are expected. We find that the tendency in the D-dependence of the gap is opposite from those in the gravity and fluid side. This is interesting as a counterexample to the gauge/gravity and gauge/fluid correspondences.
30 pages, published version
References in corpus (17)
- Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship
- Rayleigh-Plateau and Gregory-Laflamme instabilities of black strings
- Black Holes as Lumps of Fluid
- Chaos in Classical D0-Brane Mechanics
- Phase structure of matrix quantum mechanics at finite temperature
- Stable non-uniform black strings below the critical dimension
- Chaos in Matrix Models and Black Hole Evaporation
- Black hole-black string phase transitions from hydrodynamics
- Exact fuzzy sphere thermodynamics in matrix quantum mechanics
- Cascade of Gregory-Laflamme Transitions and U(1) Breakdown in Super Yang-Mills
- Liquid bridges and black strings in higher dimensions
- A microscopic description of black hole evaporation via holography
- Curvature driven diffusion, Rayleigh-Plateau, and Gregory-Laflamme
- Green-Schwarz superstring from type IIB matrix model
- Covariantized Matrix theory for D-particles
- Superstring vertex operators in type IIB matrix model
- String coupling and interactions in type IIB matrix model