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 $\pm i/R$ (``Sine-Liouville'' theory). The system shows a thermodynamical behaviour corresponding to the temperature $T=1/(2\pi R)$. We show that the microscopically calculated energy of the system satisfies the usual thermodynamical relations and leads to a non-zero entropy.

arXiv comment13 pages, lanlmac; typos corrected

References in corpus (7)

• A Matrix Model for the Two Dimensional Black Hole
• The partition function of 2d string theory
• Thermodynamics of Two-Dimensional Black-Holes
• Hawking radiation from dilaton gravity in 1 + 1 dimensions: a pedagogical review
• On free energy of 2-d black hole in bosonic string theory
• Correlators in 2D string theory with vortex condensation
• String Equation for String Theory on a Circle

Cited by in corpus (7)

• Long strings in two dimensional string theory and non-singlets in the matrix model
• Matrix Cosmology
• Closed String Tachyon Condensation at c=1
• Flux-vacua in Two Dimensional String Theory
• 2D String Theory as Normal Matrix Model
• Hartle-Hawking Vacuum for c=1 Tachyon Condensation
• Instantons in sine-Liouville theory