Dilatongravitation; zwei Dimensionen; virtuelle Schwarze Löcher; Quantengravitation
en
Abstract:
Following previous results the quantization of D-dimensional spherically reduced Einstein gravity with minimally coupled scalar matter is performed. The gravitational variables can be treated exactly using Eddington–Finkelstein gauge in the path integral leading to a non-local effective action for the matter sector. At tree-level it is known to generate two sorts of non-local four-point vertices which lead to finite S-matrix elements if the original spacetime has D = 4 . Here, the stability of the finiteness of this amplitude is investigated for higher dimensions. After a long computation, a first result is reached: For D = 6 the divergent terms of the highest transcendentality cancel.
