Classical gravity coupled to Liouville theory
Abstract
We consider the two dimensional JackiwTeitelboim model of gravity. We first couple the model to the Liouville action and c scalar fields and show, treating the combined system as a nonlinear sigma model, that the resulting theory can be interpreted as a critical string moving in a target space of dimension D = c+2. We then analyze the model from a perturbative point of view. We show in particular that the results of conformal field theory are exactly reproduced at the one loop level. We also show that the theory is one loop finite if the cosmological constant Lambda is equal to zero. When Lambda is different from zero the one loop divergences are gauge fixing dependent even onshell. However, the theory can be renormalized as a nonlinear sigma model if a kinetic term is included for the auxiliary field.
 Publication:

Unknown
 Pub Date:
 August 1991
 Bibcode:
 1991cgcl.book.....M
 Keywords:

 Field Theory (Physics);
 Gauge Invariance;
 Gravitation;
 Liouville Theorem;
 Mathematical Models;
 Dimensional Analysis;
 Integrals;
 Perturbation Theory;
 Quantum Theory;
 Thermodynamics and Statistical Physics