Chiral symmetry of SYM theory in hyperbolic space at finite temperature

Kazuo Ghoroku, Masafumi Ishihara, Motoi Tachibana, Fumihiko Toyoda

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    2 Citations (Scopus)

    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.

    Original languageEnglish
    Article number026011
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume92
    Issue number2
    DOIs
    Publication statusPublished - 2015 Jul 30

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics
    • Physics and Astronomy (miscellaneous)

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