D-dependence of gap between critical temperatures in one-dimensional gauge theories
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.
Keywords
Cite
@article{arxiv.1712.09261,
title = {D-dependence of gap between critical temperatures in one-dimensional gauge theories},
author = {Shingo Takeuchi},
journal= {arXiv preprint arXiv:1712.09261},
year = {2019}
}
Comments
30 pages, published version