Path integrals and the WKB approximation in loop quantum cosmology
被引:56
作者:
Ashtekar, Abhay
论文数: 0引用数: 0
h-index: 0
机构:
Penn State, Inst Gravitat, University Pk, PA 16802 USAPenn State, Inst Gravitat, University Pk, PA 16802 USA
Ashtekar, Abhay
[1
]
Campiglia, Miguel
论文数: 0引用数: 0
h-index: 0
机构:Penn State, Inst Gravitat, University Pk, PA 16802 USA
Campiglia, Miguel
Henderson, Adam
论文数: 0引用数: 0
h-index: 0
机构:Penn State, Inst Gravitat, University Pk, PA 16802 USA
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.
机构:
Penn State Univ, Dept Phys, Inst Gravitat Phys & Geomet, University Pk, PA 16802 USAPenn State Univ, Dept Phys, Inst Gravitat Phys & Geomet, University Pk, PA 16802 USA
Ashtekar, A
Pawlowski, T
论文数: 0引用数: 0
h-index: 0
机构:
Penn State Univ, Dept Phys, Inst Gravitat Phys & Geomet, University Pk, PA 16802 USAPenn State Univ, Dept Phys, Inst Gravitat Phys & Geomet, University Pk, PA 16802 USA
Pawlowski, T
Singh, P
论文数: 0引用数: 0
h-index: 0
机构:
Penn State Univ, Dept Phys, Inst Gravitat Phys & Geomet, University Pk, PA 16802 USAPenn State Univ, Dept Phys, Inst Gravitat Phys & Geomet, University Pk, PA 16802 USA
机构:
Penn State Univ, Inst Gravitat Phys & Geometry, Dept Phys, University Pk, PA 16802 USAPenn State Univ, Inst Gravitat Phys & Geometry, Dept Phys, University Pk, PA 16802 USA
Ashtekar, Abhay
Pawlowski, Tomasz
论文数: 0引用数: 0
h-index: 0
机构:Penn State Univ, Inst Gravitat Phys & Geometry, Dept Phys, University Pk, PA 16802 USA
Pawlowski, Tomasz
Singh, Parampreet
论文数: 0引用数: 0
h-index: 0
机构:Penn State Univ, Inst Gravitat Phys & Geometry, Dept Phys, University Pk, PA 16802 USA
机构:
Penn State Univ, Inst Gravitat Phys & Geometry, Dept Phys, University Pk, PA 16802 USAPenn State Univ, Inst Gravitat Phys & Geometry, Dept Phys, University Pk, PA 16802 USA
Ashtekar, Abhay
Pawlowski, Tomasz
论文数: 0引用数: 0
h-index: 0
机构:Penn State Univ, Inst Gravitat Phys & Geometry, Dept Phys, University Pk, PA 16802 USA
Pawlowski, Tomasz
Singh, Parampreet
论文数: 0引用数: 0
h-index: 0
机构:Penn State Univ, Inst Gravitat Phys & Geometry, Dept Phys, University Pk, PA 16802 USA
机构:
Penn State Univ, Inst Gravitat & Cosmos, Ctr Fundamental Theory, University Pk, PA 16802 USAPenn State Univ, Inst Gravitat & Cosmos, Ctr Fundamental Theory, University Pk, PA 16802 USA
Ashtekar, Abhay
Corichi, Alejandro
论文数: 0引用数: 0
h-index: 0
机构:
Penn State Univ, Inst Gravitat & Cosmos, Ctr Fundamental Theory, University Pk, PA 16802 USA
Univ Nacl Autonoma Mexico, Unidad Morelia, Inst Matemat, Morelia 58090, Michoacan, MexicoPenn State Univ, Inst Gravitat & Cosmos, Ctr Fundamental Theory, University Pk, PA 16802 USA
Corichi, Alejandro
Singh, Parampreet
论文数: 0引用数: 0
h-index: 0
机构:
Penn State Univ, Inst Gravitat & Cosmos, Ctr Fundamental Theory, University Pk, PA 16802 USA
Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, CanadaPenn State Univ, Inst Gravitat & Cosmos, Ctr Fundamental Theory, University Pk, PA 16802 USA
Singh, Parampreet
[J].
PHYSICAL REVIEW D,
2008,
77
(02):
[7]
Ashtekar A, 2003, ADV THEOR MATH PHYS, V7, P233
机构:
Penn State Univ, Dept Phys, Inst Gravitat Phys & Geomet, University Pk, PA 16802 USAPenn State Univ, Dept Phys, Inst Gravitat Phys & Geomet, University Pk, PA 16802 USA
Ashtekar, A
Pawlowski, T
论文数: 0引用数: 0
h-index: 0
机构:
Penn State Univ, Dept Phys, Inst Gravitat Phys & Geomet, University Pk, PA 16802 USAPenn State Univ, Dept Phys, Inst Gravitat Phys & Geomet, University Pk, PA 16802 USA
Pawlowski, T
Singh, P
论文数: 0引用数: 0
h-index: 0
机构:
Penn State Univ, Dept Phys, Inst Gravitat Phys & Geomet, University Pk, PA 16802 USAPenn State Univ, Dept Phys, Inst Gravitat Phys & Geomet, University Pk, PA 16802 USA
机构:
Penn State Univ, Inst Gravitat Phys & Geometry, Dept Phys, University Pk, PA 16802 USAPenn State Univ, Inst Gravitat Phys & Geometry, Dept Phys, University Pk, PA 16802 USA
Ashtekar, Abhay
Pawlowski, Tomasz
论文数: 0引用数: 0
h-index: 0
机构:Penn State Univ, Inst Gravitat Phys & Geometry, Dept Phys, University Pk, PA 16802 USA
Pawlowski, Tomasz
Singh, Parampreet
论文数: 0引用数: 0
h-index: 0
机构:Penn State Univ, Inst Gravitat Phys & Geometry, Dept Phys, University Pk, PA 16802 USA
机构:
Penn State Univ, Inst Gravitat Phys & Geometry, Dept Phys, University Pk, PA 16802 USAPenn State Univ, Inst Gravitat Phys & Geometry, Dept Phys, University Pk, PA 16802 USA
Ashtekar, Abhay
Pawlowski, Tomasz
论文数: 0引用数: 0
h-index: 0
机构:Penn State Univ, Inst Gravitat Phys & Geometry, Dept Phys, University Pk, PA 16802 USA
Pawlowski, Tomasz
Singh, Parampreet
论文数: 0引用数: 0
h-index: 0
机构:Penn State Univ, Inst Gravitat Phys & Geometry, Dept Phys, University Pk, PA 16802 USA
机构:
Penn State Univ, Inst Gravitat & Cosmos, Ctr Fundamental Theory, University Pk, PA 16802 USAPenn State Univ, Inst Gravitat & Cosmos, Ctr Fundamental Theory, University Pk, PA 16802 USA
Ashtekar, Abhay
Corichi, Alejandro
论文数: 0引用数: 0
h-index: 0
机构:
Penn State Univ, Inst Gravitat & Cosmos, Ctr Fundamental Theory, University Pk, PA 16802 USA
Univ Nacl Autonoma Mexico, Unidad Morelia, Inst Matemat, Morelia 58090, Michoacan, MexicoPenn State Univ, Inst Gravitat & Cosmos, Ctr Fundamental Theory, University Pk, PA 16802 USA
Corichi, Alejandro
Singh, Parampreet
论文数: 0引用数: 0
h-index: 0
机构:
Penn State Univ, Inst Gravitat & Cosmos, Ctr Fundamental Theory, University Pk, PA 16802 USA
Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, CanadaPenn State Univ, Inst Gravitat & Cosmos, Ctr Fundamental Theory, University Pk, PA 16802 USA
Singh, Parampreet
[J].
PHYSICAL REVIEW D,
2008,
77
(02):
[7]
Ashtekar A, 2003, ADV THEOR MATH PHYS, V7, P233