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Mass spectrum and thermodynamics of quasiconformal gauge theories from gauge/gravity duality

J. Alanen^1,2,*, T. Alho^2,3,†, K. Kajantie^1,2,‡, and K. Tuominen^2,3,§

¹Department of Physics, P.O. Box 64, FI-00014 University of Helsinki, Finland
²Helsinki Institute of Physics, P.O. Box 64, FI-00014 University of Helsinki, Finland
³Department of Physics, University of Jyväskylä

^*janne.alanen@helsinki.fi
^†timo.s.alho@jyu.fi
^‡keijo.kajantie@helsinki.fi
^§kimmo.i.tuominen@jyu.fi

Phys. Rev. D 84, 086007 – Published 24 October, 2011

DOI: https://doi.org/10.1103/PhysRevD.84.086007

Abstract

We use gauge/gravity duality to study simultaneously the mass spectrum and the thermodynamics of a generic quasiconformal gauge theory, specified by its beta function. The beta function of a quasiconformal theory almost vanishes, and the coupling is almost constant between two widely separated energy scales. Depending on whether the gravity dual has a black hole or not, the mass spectrum is either a spectrum of quasinormal oscillations or a normal $T = 0$ mass spectrum. The mass spectrum is quantitatively correlated with the thermal properties of the system. As the theory approaches conformality, the masses have to vanish. We show that in this limit, the masses calculated via gauge/gravity duality satisfy expected scaling properties.

Article Text

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