Canonical formulation of scalar curvature squared action in higher dimensions

被引:15
作者
Debnath, Subhra [1 ]
Ruz, Soumendranath [2 ]
Sanyal, Abhik Kumar [1 ]
机构
[1] Jangipur Coll, Dept Phys, Murshidabad 742213, India
[2] Univ Kalyani, Dept Phys, Nadia 741235, W Bengal, India
来源
PHYSICAL REVIEW D | 2014年 / 90卷 / 04期
关键词
QUANTUM COSMOLOGY; HAMILTONIAN-FORMULATION; HIGHER DERIVATIVES; GRAVITY; MODELS;
D O I
10.1103/PhysRevD.90.047504
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The canonical formulation for an action containing a scalar curvature squared term (R-2) in arbitrary dimension has been performed in a Robertson-Walker minisuperspace model. The quantum dynamics does not alter significantly from the same in four dimensions, while the continuity equation picks up a particular operator-ordering index. The classical solution is also at par with the one presented by Starobinsky for k = 0 and matches with the extremum of the effective potential. Semiclassical approximation peaks around the classical solution.
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页数:5
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