Abstract
We study a holographic gauge theory living in the space-time at finite temperature. The gravity dual is obtained as a solution of the type IIB superstring theory with two free parameters, which correspond to four-dimensional cosmological constant () and the dark radiation () respectively. The theory studied here is in the confining and chiral symmetry broken phase for and small . When is increased, the transition to the deconfinement phase has been observed at a finite value of . It is shown here that the chiral symmetry is still broken for a finite range of in the deconfinement phase. In other words, the chiral phase transition occurs at a larger value of than that of the deconfinement transition. So there is a parameter range of a new deconfinement phase with broken chiral symmetry. In order to study the properties of this phase, we performed a holographic analysis for the meson mass spectrum and other quantities in terms of the probe D7 brane. The results are compared with a linear sigma model. Furthermore, the entanglement entropy is examined to search for a sign of the chiral phase transition. Several comments are given for these analyses.
- Received 22 February 2015
DOI:https://doi.org/10.1103/PhysRevD.92.026011
© 2015 American Physical Society