Path Integrals and Alternative Effective Dynamics in Loop Quantum Cosmology

被引：18

作者：

Qin Li ^{[1
]}

Deng Guo ^{[1
]}

Ma Yong-Ge ^{[1
]}

机构：

[1] Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2012年 / 57卷 / 02期

关键词：

loop quantum cosmology; path integral; effective Hamiltonian; modified Friedmann equation;

D O I：

10.1088/0253-6102/57/2/28

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The alternative dynamics of loop quantum cosmology is examined by the path integral formulation. We consider the spatially flat FRW models with a massless scalar field, where the alternative quantizations inherit more features from full loop quantum gravity. The path integrals can be formulated in both timeless and deparameterized frameworks. It turns out that the effective Hamiltonians derived from the two different viewpoints are equivalent to each other. Moreover, the first-order modified Friedmann equations are derived and predict quantum bounces for contracting universe, which coincide with those obtained in canonical theory.

引用

页码：326 / 332

页数：7

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