Gravitational Phase Transitions and the Sine-Gordon Model

Abstract

We consider the Sine-Gordon model coupled to 2D gravity. We find a nonperturbative expression for the partition function as a function of the cosmological constant, the SG mass and the SG coupling constant. At genus zero, the partition function exhibits singularities which are interpreted as signals of phase transitions. A semiclassical picture of one of these transitions is proposed. According to this picture, a phase in which the Sine-Gordon field and the geometry are frozen melts into another phase in which the fields and geometry become dynamical.

23pp., 6 figures (not included)

References in corpus (3)

• Exact S-Matrix for 2D String Theory
• Classical Scattering in $1+1$ Dimensional String Theory
• A Note on Background (In)dependence

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