Extracting the Cosmological Constant from the Wheeler DeWitt Equation in a Modified Gravity Theory
Abstract
Description
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.
Talk given at QFEXT 07, Workshop on Quantum Field Theory Under the Influence of External Conditions, Leipzig, 17-21 Sep 2007 and talk given at 9th International Conference on Path Integrals - New Trends and Perspectives, Dresden, 23-28 September 2007. 8 pages, accepted for publication in Journal of Physics A
Talk given at QFEXT 07, Workshop on Quantum Field Theory Under the Influence of External Conditions, Leipzig, 17-21 Sep 2007 and talk given at 9th International Conference on Path Integrals - New Trends and Perspectives, Dresden, 23-28 September 2007. 8 pages, accepted for publication in Journal of Physics A