Holographic Schwinger effect and chiral condensate in SYM theory

Kazuo Ghoroku, Masafumi Ishihara

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    2 Citations (Scopus)

    Abstract

    We study the instability, for the supersymmetric Yang-Mills (SYM) theories, caused by the external electric field through the imaginary part of the action of the D7 probe brane, which is embedded in the background of type IIB theory. This instability is related to the Schwinger effect, namely to the quark pair production due to the external electric field, for the SU(Nc) SYM theories. In this holographic approach, it is possible to calculate the Schwinger effect for various phases of the theories. Here we give the calculation for N= 2 SYM theory and the analysis is extended to the finite temperature deconfinement and the zero temperature confinement phases of the Yang-Mills (YM) theory. By comparing the obtained production rates with the one of the supersymmetric case, the dynamical quark mass is estimated and we find how it varies with the chiral condensate. Based on this analysis, we give a speculation on the extension of the Nambu-Jona-Lasinio model to the finite temperature YM theory, and four fermi coupling is evaluated in the confinement theory.

    Original languageEnglish
    Article number11
    JournalJournal of High Energy Physics
    Volume2016
    Issue number9
    DOIs
    Publication statusPublished - 2016 Sep 1

    Keywords

    • AdS-CFT Correspondence
    • Brane Dynamics in Gauge Theories
    • D-branes
    • Holography and quark-gluon plasmas

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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