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
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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