The quantum theory of a quadratic gravity action for heterotic strings

Details The quantum theory of a quadratic gravity action for heterotic strings The quantum theory of a quadratic gravity action for heterotic strings

2001-12-31

arxiv.org/abs/gr-qc/0201002v2

Gen.Rel.Grav. 34 (2002) 1751-1765

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages. Renormalizability properties of the action are clarified and a third-order differential equation for the wave functi

Scientific paper

The wave function for the quadratic gravity theory derived from the heterotic string effective action is deduced to first order in ${{e^{-\Phi}}\over {g_4^2}}$ by solving a perturbed second-order Wheeler-DeWitt equation, assuming that the potential is slowly varying with respect to $\Phi$. Predictions for inflation based on the solution to the second-order Wheeler-DeWitt equation continue to hold for this theory. It is shown how formal expressions for the average paths in minisuperspace $\{< a(t) >, < \Phi(t)> \}$ determine the shifts from the classical solutions to $a_{cl}(t)$ and $\Phi_{cl}(t)$, which occur only at third order in the expansion of the integrals representing the expectation values.

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