Chiral symmetry of SYM theory in hyperbolic space at finite temperature

Kazuo Ghoroku, Masafumi Ishihara, Motoi Tachibana, and Fumihiko Toyoda
Phys. Rev. D 92, 026011 – Published 30 July 2015

Abstract

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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  • Received 22 February 2015

DOI:https://doi.org/10.1103/PhysRevD.92.026011

© 2015 American Physical Society

Authors & Affiliations

Kazuo Ghoroku1,*, Masafumi Ishihara2,†, Motoi Tachibana3,‡, and Fumihiko Toyoda4,§

  • 1Fukuoka Institute of Technology, Wajiro, Higashi-ku Fukuoka 811-0295, Japan
  • 2WPI-Advanced Institute for Materials Research (WPI-AIMR), Tohoku University, Sendai 980-8577, Japan
  • 3Department of Physics, Saga University, Saga 840-8502, Japan
  • 4Faculty of Humanity-Oriented Science and Engineering, Kinki University, Iizuka 820-8555, Japan

  • *gouroku@dontaku.fit.ac.jp
  • masafumi@wpi-aimr.tohoku.ac.jp
  • motoi@cc.saga-u.ac.jp
  • §ftoyoda@fuk.kindai.ac.jp

See Also

Glueball instability and thermalization driven by dark radiation

Kazuo Ghoroku, Masafumi Ishihara, Akihiro Nakamura, and Fumihiko Toyoda
Phys. Rev. D 90, 126011 (2014)

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Vol. 92, Iss. 2 — 15 July 2015

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