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- W2042315850 abstract "We discuss how to extract information about the cosmological constant from the Wheeler‐DeWitt equation, considered as an eigenvalue of a Sturm‐Liouville problem in a de Sitter and Anti‐de Sitter background. The equation is approximated to one loop with the help of a variational approach with Gaussian trial wave functionals. A canonical decomposition of modes is used to separate transverse‐traceless tensors (graviton) from ghosts and scalar. We show that no ghosts appear in the final evaluation of the cosmological constant. A zeta function regularization is used to handle with divergences. A renormalization procedure is introduced to remove the infinities together with a renormalization group equation. We apply this procedure on the induced cosmological constant Λ and, as an alternative, on the Newton constant G. A brief discussion on the extension to a f(R) theory is considered." @default.
- W2042315850 created "2016-06-24" @default.
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- W2042315850 date "2010-01-01" @default.
- W2042315850 modified "2023-10-06" @default.
- W2042315850 title "Running Cosmological Constant and Running Newton Constant in Modified Gravity Theories" @default.
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- W2042315850 doi "https://doi.org/10.1063/1.3462727" @default.
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