Thermodynamics of 2D string theory

Abstract

We calculate the free energy, energy and entropy in the matrix quantum mechanical formulation of 2D string theory in a background strongly perturbed by tachyons with the imaginary Minkowskian momentum i/R (``Sine-Liouville'' theory). The system shows a thermodynamical behaviour corresponding to the temperature T=1/(2π R). We show that the microscopically calculated energy of the system satisfies the usual thermodynamical relations and leads to a non-zero entropy.

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