Gravitational phase transitions and the Sine-Gordon model

Mar, 1992
22 pages
e-Print:
Report number:
  • YCTP-P1-92

Citations per year

1993200120092017202301234
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.