THE DENSITY PERTURBATION IN THE CHAOTIC INFLATION WITH NONMINIMAL COUPLING

被引:199
作者
MAKINO, N [1 ]
SASAKI, M [1 ]
机构
[1] HIROSHIMA UNIV, DEPT PHYS, HIROSHIMA 730, JAPAN
来源
PROGRESS OF THEORETICAL PHYSICS | 1991年 / 86卷 / 01期
关键词
INDUCED-GRAVITY INFLATION; QUANTUM-FIELD-THEORY; UNIVERSE MODELS; FLUCTUATIONS; COSMOLOGY;
D O I
10.1143/PTP.86.103
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We formulate a method to rigorously evaluate the density perturbation amplitude in inflation models with non-canonical gravity. As a specific example but which contains essential features of non-canonical models, the density perturbation in the lambda-phi-4 chaotic inflation model with non-minimal coupling xi-R-phi-2 is carefully investigated in terms of the Hamiltonian formalism for constrained systems. We utilize a particular conformal transformation under which the original system with a non-minimally coupled scalar field is transformed into one with a minimal coupling and derive a reduced Hamiltonian for scalar-type perturbations (which describe density perturbations) in which only the dynamical degrees of freedom are contained. We then evaluate the amplitude of density perturbations arising from vacuum fluctuations of the system. We find the amplitude in the conformally transformed metric exactly agrees with that in the original metric. Thus the result obtained in the previous papers by a rather crude approach is confirmed in a more rigorous manner; i.e., the constraint on lambda is weakened if xi is large.
引用
收藏
页码:103 / 118
页数:16
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