Integrating geometry in general 2-D dilaton gravity with matter
Sep, 199837 pages
Published in:
- Nucl.Phys.B 544 (1999) 403-431
e-Print:
- hep-th/9809168 [hep-th]
Report number:
- TUW-98-19
View in:
Citations per year
Abstract:
General 2d dilaton theories, containing spherically symmetric gravity and hence the Schwarzschild black hole as a special case, are quantized by an exact path integral of their geometric (Cartan-) variables. Matter, represented by minimally coupled massless scalar fields is treated in terms of a systematic perturbation theory. The crucial prerequisite for our approach is the use of a temporal gauge for the spin connection and for light cone components of the zweibeine which amounts to an Eddington Finkelstein gauge for the metric. We derive the generating functional in its most general form which allows a perturbation theory in the scalar fields. The relation of the zero order functional to the classical solution is established. As an example we derive the effective (gravitationally) induced 4-vertex for scalar fields.Note:
- latex, 37 pages Report-no: TUW-98-19
- 04.60.Kz
- 04.70.Dy
- gravitation: dilaton
- dimension: 2
- black hole: Schwarzschild
- quantization: path integral
- field theory: scalar
- massless
- coupling: minimal
- temporal gauge
References(51)
Figures(0)