Comments on thermodynamics of supersymmetric matrix models. (English) Zbl 1194.81218

Smilga, A. V.

Nucl. Phys., B 818, No. 1-2, 101-114 (2009).

Summary: We present arguments that the structure of the spectrum of the supersymmetric matrix model with 16 real supercharges in the large \(N\) limit is rather nontrivial, involving besides the natural energy scale \(\sim\lambda^{1/3}=(g^{2}N)^{1/3}\) also a lower scale \(\sim\lambda ^{1/3}N^{ - 5/9}\). This allows one to understand a nontrivial behaviour of the mean internal energy of the system \(E\propto T^{14/5}\) predicted by gauge-string duality arguments.

MSC:

81T30	String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T60	Supersymmetric field theories in quantum mechanics
82B30	Statistical thermodynamics

Keywords:

supercharges; mean internal energy

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