Holonomies of Gravitational Connection

Shao Changgui; Chen Zhongqiu; Ma Weichuan; Chen Yihan; Lin Shuyuan

Chinese Physics C> 1998, Vol. 22> Issue(1) : 20-27

Holonomies of Gravitational Connection

Physics Department, Hubei University, Wuhan 430062

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Abstract：
The extended loop group and the extended holonomy are consrtucted. The holonomy used in gravity, is obtained using the loop space. For a R+F² gravity we calculate a classical and a quantum holonomy. the excitation of localized curvature and its expression are obtained.

References

[1]

A. Bassetto, E De Biasio, L. Griguolo. Phys. Rev. Lett., 1994, 72: 3141[2] H. A. Morales-Tecotl, C. Rovelli. Nucl. Phys., 1995, B451: 325[3] A. Ashtekar, Lectures on: Non-Pertubative Canonical Gravity. Lecture Notes Prepared in Collaboration With R S. Tate. World Scientific, Singapore. 1991.[4] C. D. Bartolo, R Gambini, J. Gnego et al.. Rev. Lett., 1994, 72: 3638[5] G. Modanese. Phys. Lett., 1992, B288: 69[6] R Gambini. Phys. Lett., 1991, B255: 180[7] L. Smolin. Phys. Rev., 1994, D49: 4028 [8] Wei Mozhen, Shao Changgui, He Changbai. Intern. J. Theor. Phys. 1989, 28: 1437

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Shao Changgui, Chen Zhongqiu, Ma Weichuan, Chen Yihan and Lin Shuyuan. Holonomies of Gravitational Connection[J]. Chinese Physics C, 1998, 22(1): 20-27.

Shao Changgui, Chen Zhongqiu, Ma Weichuan, Chen Yihan and Lin Shuyuan. Holonomies of Gravitational Connection[J]. Chinese Physics C, 1998, 22(1): 20-27. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Holonomies of Gravitational Connection

Corresponding author: Shao Changgui,

Physics Department, Hubei University, Wuhan 430062

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1998-01-05

Abstract: The extended loop group and the extended holonomy are consrtucted. The holonomy used in gravity, is obtained using the loop space. For a R+F² gravity we calculate a classical and a quantum holonomy. the excitation of localized curvature and its expression are obtained.