Path integrals and the WKB approximation in loop quantum cosmology

被引:57
作者
Ashtekar, Abhay [1 ]
Campiglia, Miguel
Henderson, Adam
机构
[1] Penn State, Inst Gravitat, University Pk, PA 16802 USA
来源
PHYSICAL REVIEW D | 2010年 / 82卷 / 12期
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevD.82.124043
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We follow the Feynman procedure to obtain a path integral formulation of loop quantum cosmology starting from the Hilbert space framework. Quantum geometry effects modify the weight associated with each path so that the effective measure on the space of paths is different from that used in the Wheeler-DeWitt theory. These differences introduce some conceptual subtleties in arriving at the WKB approximation. But the approximation is well defined and provides intuition for the differences between loop quantum cosmology and the Wheeler-DeWitt theory from a path integral perspective.
引用
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页数:12
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共 30 条
[1]   Quantum nature of the big bang [J].
Ashtekar, A ;
Pawlowski, T ;
Singh, P .
PHYSICAL REVIEW LETTERS, 2006, 96 (14)
[2]  
ASHTEKAR A, UNPUB
[3]   Loop quantum cosmology of k=1 FRW models [J].
Ashtekar, Abhay ;
Pawlowski, Tomasz ;
Singh, Parampreet ;
Vandersloot, Kevin .
PHYSICAL REVIEW D, 2007, 75 (02)
[4]   Quantum nature of the big bang: Improved dynamics [J].
Ashtekar, Abhay ;
Pawlowski, Tomasz ;
Singh, Parampreet .
PHYSICAL REVIEW D, 2006, 74 (08)
[5]   Quantum nature of the big bang: An analytical and numerical investigation [J].
Ashtekar, Abhay ;
Pawlowski, Tomasz ;
Singh, Parampreet .
PHYSICAL REVIEW D, 2006, 73 (12)
[6]   Robustness of key features of loop quantum cosmology [J].
Ashtekar, Abhay ;
Corichi, Alejandro ;
Singh, Parampreet .
PHYSICAL REVIEW D, 2008, 77 (02)
[7]  
Ashtekar A, 2003, ADV THEOR MATH PHYS, V7, P233
[8]   Casting loop quantum cosmology in the spin foam paradigm [J].
Ashtekar, Abhay ;
Campiglia, Miguel ;
Henderson, Adam .
CLASSICAL AND QUANTUM GRAVITY, 2010, 27 (13)
[9]  
Ashtekar A, 2009, PHYS REV D, V80, DOI 10.1103/PhysRevD.80.123532
[10]   Loop quantum cosmology and spin foams [J].
Ashtekar, Abhay ;
Campiglia, Miguel ;
Henderson, Adam .
PHYSICS LETTERS B, 2009, 681 (04) :347-352