Higher derivatives and renormalization in quantum cosmology
Abstract
In the framework of the canonical quantization of general relativity, quantum field theory on a fixed background formally arises in an expansion in powers of the Planck length. In order to renormalize the theory, quadratic terms in the curvature must be included in the gravitational action from the beginning. These terms contain higher derivatives which change the Hamiltonian structure of the theory completely, making the relation between the renormalizedtheory and the original one not clear. We show that it is possible to avoid this problem. We replace the higher derivative theory by a second order one. The classical solutions of the latter are also solutions of the former. We quantize the theory, renormalize the infinities, and show that there is a smooth limit between the classical and the renormalized theories. We work in a Robertson Walker minisuperspace with a quantum scalar field.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 October 1991
 Bibcode:
 1991STIN...9225318M
 Keywords:

 Cosmology;
 Differential Calculus;
 Field Theory (Physics);
 Gravitation;
 Gravitation Theory;
 Quantum Theory;
 Renormalization Group Methods;
 Canonical Forms;
 Integrals;
 Relativity;
 Astrophysics