Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-11-02
Mod.Phys.Lett.A25:2955-2971,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
18 pages
Scientific paper
10.1142/S0217732310033943
In this paper, we show the equivalence between a classical static scalar field theory and the (closed) de Sitter cosmological model whose potential represents shape invariance property. Based on this equivalence, we calculate the one-loop quantum cosmological correction to the ground state energy of the kink-like solution in the (closed) de Sitter cosmological model in which the fluctuation potential $V^{\prime\prime}$ has a shape invariance property. It is shown that this type of correction, which yields a renormalized mass in the case of scalar field theory, may be {\it interpreted} as a renormalized gravitational constant in the case of (closed) de Sitter cosmological model. Keywords: One-loop correction; kink energy; shape invariance; zeta function regularization; de Sitter universe.
Darabi Farhad
Jalalzadeh Shahram
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