TY - JOUR

T1 - Chiral symmetry of SYM theory in hyperbolic space at finite temperature

AU - Ghoroku, Kazuo

AU - Ishihara, Masafumi

AU - Tachibana, Motoi

AU - Toyoda, Fumihiko

N1 - Publisher Copyright:
© 2015 American Physical Society.
Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.

PY - 2015/7/30

Y1 - 2015/7/30

N2 - We study a holographic gauge theory living in the AdS4 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 (λ) and the dark radiation (C) respectively. The theory studied here is in the confining and chiral symmetry broken phase for λ<0 and small C. When C is increased, the transition to the deconfinement phase has been observed at a finite value of C/|λ|. It is shown here that the chiral symmetry is still broken for a finite range of C/|λ| in the deconfinement phase. In other words, the chiral phase transition occurs at a larger value of C/|λ| 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.

AB - We study a holographic gauge theory living in the AdS4 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 (λ) and the dark radiation (C) respectively. The theory studied here is in the confining and chiral symmetry broken phase for λ<0 and small C. When C is increased, the transition to the deconfinement phase has been observed at a finite value of C/|λ|. It is shown here that the chiral symmetry is still broken for a finite range of C/|λ| in the deconfinement phase. In other words, the chiral phase transition occurs at a larger value of C/|λ| 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.

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U2 - 10.1103/PhysRevD.92.026011

DO - 10.1103/PhysRevD.92.026011

M3 - Article

AN - SCOPUS:84939139200

VL - 92

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 2

M1 - 026011

ER -