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arxiv: hep-th/9203061 · v1 · submitted 1992-03-22 · ✦ hep-th

Gravitational Phase Transitions and the Sine-Gordon Model

Gregory Moore This is my paper
classification ✦ hep-th
keywords phasefunctionsine-gordontransitionsconstantgeometrymodelpartition
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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.

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