Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-12-19
J.Phys.A41:164057,2008
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Talk given at QFEXT 07, Workshop on Quantum Field Theory Under the Influence of External Conditions, Leipzig, 17-21 Sep 2007 a
Scientific paper
10.1088/1751-8113/41/16/164057
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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