Canonical formulation of scalar curvature squared action in higher dimensions

Abstract

Canonical formulation for an action containing scalar curvature squared term $(R^2)$ in arbitrary dimension has been performed in maximally symmetric space-time. The quantum dynamics does not alter significantly from the same in $4$-dimension. Classical solution is also at par with the one presented by Starobinsky. WKB approximation peaks around the classical solution.

arXiv comment11 pages. To appear in Phys. Rev. D (2014)

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• Probing the early universe with a generalized action
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• Canonical equivalence, quantization and anisotropic inflation in higher order theory of gravity
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• Perusing Buchbinder--Lyakhovich canonical formalism for Higher-Order Theories of Gravity