Casimir energy, the cosmological constant and massive gravitons

Details Casimir energy, the cosmological constant and massive gravitons Casimir energy, the cosmological constant and massive gravitons

2005-10-13

arxiv.org/abs/gr-qc/0510062v1

J.Phys.Conf.Ser. 33 (2006) 215-220

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages. Uses pi2005.cls and pi2005.sty. Talk given at The 8-th International Conference "Path Integrals. From Quantum Inform

Scientific paper

The cosmological constant appearing in the Wheeler-De Witt equation is considered as an eigenvalue of the associated Sturm-Liouville problem. A variational approach with Gaussian trial wave functionals is used as a method to study such a problem. We approximate the equation to one loop in a Schwarzschild background and a zeta function regularization is involved to handle with divergences. The regularization is closely related to the subtraction procedure appearing in the computation of Casimir energy in a curved background. A renormalization procedure is introduced to remove the infinities together with a renormalization group equation. The case of massive gravitons is discussed.

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