Path integrals and the WKB approximation in loop quantum cosmology

被引:56
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
收藏
页数:12
相关论文
共 30 条
  • [1] Quantum nature of the big bang
    Ashtekar, A
    Pawlowski, T
    Singh, P
    [J]. PHYSICAL REVIEW LETTERS, 2006, 96 (14)
  • [2] ASHTEKAR A, UNPUB
  • [3] Loop quantum cosmology of k=1 FRW models
    Ashtekar, Abhay
    Pawlowski, Tomasz
    Singh, Parampreet
    Vandersloot, Kevin
    [J]. PHYSICAL REVIEW D, 2007, 75 (02):
  • [4] Quantum nature of the big bang: Improved dynamics
    Ashtekar, Abhay
    Pawlowski, Tomasz
    Singh, Parampreet
    [J]. PHYSICAL REVIEW D, 2006, 74 (08)
  • [5] Quantum nature of the big bang: An analytical and numerical investigation
    Ashtekar, Abhay
    Pawlowski, Tomasz
    Singh, Parampreet
    [J]. PHYSICAL REVIEW D, 2006, 73 (12)
  • [6] Robustness of key features of loop quantum cosmology
    Ashtekar, Abhay
    Corichi, Alejandro
    Singh, Parampreet
    [J]. 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
    Ashtekar, Abhay
    Campiglia, Miguel
    Henderson, Adam
    [J]. 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
    Ashtekar, Abhay
    Campiglia, Miguel
    Henderson, Adam
    [J]. PHYSICS LETTERS B, 2009, 681 (04) : 347 - 352