a Variational Approach to the Computation of the Cosmological Constant in a Modified Gravity Theory

Details a Variational Approach to the Computation of the Cosmological Constant in a Modified Gravity Theory a Variational Approach to the Computation of the Cosmological Constant in a Modified Gravity Theory

Nov 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008pint.conf..219g&link_type=abstract

PATH INTEGRALS -- NEW TRENDS AND PERSPECTIVES. Proceedings of the 9th International Conference. Held 23-28 September 2007 in Dre

Mathematics

Logic

Quantum Cosmology, Cosmological Constant, Renormalization, Modified Gravity

Scientific paper

We discuss how to extract information about the cosmological constant from the Wheeler-DeWitt equation, considered as an eigenvalue of a Sturm-Liouville problem. A generalization to a f(R) theory is taken under examination. The equation is approximated to one loop with the help of a variational approach with Gaussian trial wave functionals. We use a zeta function regularization to handle with divergences. A renormalization procedure is introduced to remove the infinities together with a renormalization group equation.

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