https://doi.org/10.1140/epjc/s10052-019-6941-y
Regular Article - Theoretical Physics
D-dependence of the gap between the critical temperatures in the one-dimensional gauge theories
Institute of Research and Development, Duy Tan University, 3 Quang Trung, Hai Chau, Da Nang, Vietnam
* e-mail: shingo.portable@gmail.com
Received:
3
December
2018
Accepted:
13
May
2019
Published online:
28
June
2019
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 Mandal et al. (JHEP 1002:034, 2010). These transitions are related with the Gregory-Laflamme instabilities in the gravities and the 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.
© The Author(s), 2019
