The quantum theory of a quadratic gravity theory derived from the heterotic string effective action


Simon Davis and Hugh Luckock


Research Report 2001-17
Date: 21 December 2001, revised 12 Feb 2002


The renormalizability of a quadratic gravity theory with exponential coupling between dilaton field and curvature terms is verified. The wave function for this model is then deduced to first order by solving a perturbed second-order Wheeler-De Witt equation, assuming that the potential is slowly varying with respect to the dilation field. Calculations of the time-dependence of the expected scale factor and dilaton field for this theory are outlined.

Key phrases

quadratic gravity. string theory. quantum cosmology. Wheeler DeWitt equation.

AMS Subject Classification (1991)

Primary: 83C45
Secondary: 83E05, 83E30, 81T10, 81T15, 81T20, 81T30


The paper is available in the following forms:
TeX dvi format:
2001-17.dvi.gz (25kB) or 2001-17.dvi (77kB)

PostScript: (128kB) or (282kB)

To minimize network load, please choose the smaller gzipped .gz form if and only if your browser client supports it.

Sydney Mathematics and Statistics