One-loop Effective Action for a Generic 2D Dilaton Gravity Theory

Details One-loop Effective Action for a Generic 2D Dilaton Gravity Theory One-loop Effective Action for a Generic 2D Dilaton Gravity Theory

1997-04-02

arxiv.org/abs/hep-th/9704014v1

Nucl.Phys.B504:511-531,1997

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, latex, no figures

Scientific paper

10.1016/S0550-3213(97)00474-4

We study the one-loop effective action for a generic two-dimensional dilaton gravity theory conformally coupled to $N$ matter fields. We obtain an explicit expression for the effective action in the weak-coupling limit under a suitable restriction of the dilaton potential asymptotics. Our result applies to the CGHS model as well as to the spherically symmetric general relativity. The effective action is obtained by using the background-field method, and we take into account the loop contributions from all the fields in the classical action and from the ghosts. In the large-$N$ limit, and after an appropriate field redefinition, the one-loop correction takes the form of the Polyakov-Liouville action.

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