Chiral symmetry breaking in cascading gauge theory plasma
Abstract
N=1 supersymmetric SU(K+P)xSU(K) cascading gauge theory of Klebanov et.al [1,2] undergoes a first-order finite temperature confinement/deconfinement phase transition at Tc=0.6141111(3) Lambda, where Lambda is the strong coupling scale of the theory. The deconfined phase of the theory, with the unbroken chiral symmetry, extends down to Tu=0.8749(0) Tc, where it becomes perturbatively unstable due to the condensation of the hydrodynamic (sound) modes. We show that at TcSB =0.882503(0) Tc > Tu the deconfined phase of the cascading plasma is perturbatively unstable towards development of the chiral symmetry breaking condensates. We present evidence that the ground state of the cascading plasma for T<TcSB can not be homogeneous and isotropic.
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