ONE-LOOP QUANTUM COSMOLOGICAL CORRECTION TO THE GRAVITATIONAL CONSTANT USING THE KINK SOLUTION IN DE SITTER UNIVERSE
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The One
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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′′ 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 interpreted as a renormalized gravitational constant in the case of (closed) de Sitter cosmological model.
2009 ◽
Vol 26
(7)
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pp. 072001
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2010 ◽
Vol 25
(21)
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pp. 4111-4122
2010 ◽
Vol 25
(02n03)
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pp. 289-299
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2007 ◽
Vol 22
(30)
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pp. 2287-2295
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2000 ◽
Vol 579
(1-2)
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pp. 379-410
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