Loop-quantum-gravity vertex amplitude

被引:216
作者
Engle, Jonathan [1 ]
Pereira, Roberto [1 ]
Rovelli, Carlo [1 ]
机构
[1] Ctr Phys Theor Luminy, F-13288 Marseille, France
关键词
D O I
10.1103/PhysRevLett.99.161301
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Spin foam models are hoped to provide the dynamics of loop-quantum gravity. However, the most popular of these, the Barrett-Crane model, does not have the good boundary state space and there are indications that it fails to yield good low-energy n-point functions. We present an alternative dynamics that can be derived as a quantization of a Regge discretization of Euclidean general relativity, where second class constraints are imposed weakly. Its state space matches the SO(3) loop gravity one and it yields an SO(4)-covariant vertex amplitude for Euclidean loop gravity.
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页数:4
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共 51 条
[1]  
AKESCI E, COMPLETE LQG PROPAGA
[2]   SU(2) loop quantum gravity seen from covariant theory -: art. no. 044009 [J].
Alexandrov, S ;
Livine, ER .
PHYSICAL REVIEW D, 2003, 67 (04)
[3]   Choice of connection in loop quantum gravity [J].
Alexandrov, S .
PHYSICAL REVIEW D, 2002, 65 (02)
[4]   Quantum theory of geometry: I. Area operators [J].
Ashtekar, A ;
Lewandowski, J .
CLASSICAL AND QUANTUM GRAVITY, 1997, 14 (1A) :A55-A81
[5]   WEAVING A CLASSICAL METRIC WITH QUANTUM THREADS [J].
ASHTEKAR, A ;
ROVELLI, C ;
SMOLIN, L .
PHYSICAL REVIEW LETTERS, 1992, 69 (02) :237-240
[6]  
ASHTEKAR A, 2004, ARXIVGRQC0702030, V21, pR53
[7]  
Ashtekar A., 1998, Adv. Theor. Math. Phys, V1, P388, DOI [10.4310/ATMP.1997.v1.n2.a8, DOI 10.4310/ATMP.1997.V1.N2.A8]
[8]   Spin foam models [J].
Baez, JC .
CLASSICAL AND QUANTUM GRAVITY, 1998, 15 (07) :1827-1858
[9]   Spin-foam models of Riemannian quantum gravity [J].
Baez, JC ;
Christensen, JD ;
Halford, TR ;
Tsang, DC .
CLASSICAL AND QUANTUM GRAVITY, 2002, 19 (18) :4627-4648
[10]  
Baez JC, 2000, LECT NOTES PHYS, V543, P25