Action of the Diffeomorphism Constraint in the Extended Loop Representation of Quantum Gravity

SHAO ChangGui; XIAO JunHua; SHAO Liang; PAN GuiJun; CHEN ZhongQiu

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2000, Vol. 24> Issue(5) : 390-399

Action of the Diffeomorphism Constraint in the Extended Loop Representation of Quantum Gravity

Institute of Theoretical Physics of Hubei University, Wuhan, 430062 China

Abstract
HTML
Reference
Related

PDF

Abstract：
By a different way, we particularized the action of the diffeomorphism constraint (D-constraint) on the abstract wave function in the extended loop representation to the action in the loop representation. Using the two-point propagator of Chern-Simons theory as the basic blocks of quantum gravity states, we constructed the extended knot invariant gravity states (*φ_G)ⁿ that which satisfied with the homogeneous D-constraint. For the states of n=1,2, we demonstrated a detailed proof, To the states of n>2, we gave a general identification.

References

[1]

Ashtekar A. Phys. Rev. Lett.,1986,57:2244;Phys. Rev.,1987,D36:1587[2] Rovelli C,Smolin L.Nucl. Phys.,1990,B331:80[3] Markopoulou F, Smolin L. Nucl. Phys.,1997,B508;409[4] Di Bartolo C,Gambini R,Griego J. Phys. Rev.,1995, D51:502[5] Di Bartolo C,Gambini R,Griego J. et al. Phys. Rev. Lett.,1994, 72:3638[6] Griego J. Nucl. Phys.,1996, 8467:332[7] Rovelli C,Smolin L. Phys. Rev. Lett.,1988, 61:1155[8] Bnigmann B,Gambini R,Pullin J. Phys. Rev. Lett.,1992, 68:431

[1]	S.J.Sanders . Differential Elliptic Flow at Forward Rapidity in 200GeV AuAu Collisions. Chinese Physics C, 2007, 31(12): 1137-1140.
[2]	WANG Ju-Xia , YANG Zhi-Yong , AN Yu-Ying . Quantum Information Transfer in the Process of Coupled Atoms Interacting with Cavity Fields. Chinese Physics C, 2007, 31(2): 204-208.
[3]	WAN Ling-De , CAO Jun-Jie . Infrared Divergence in Loop Functions. Chinese Physics C, 2003, 27(5): 381-385.
[4]	ZHANG De-Xing . The Relation between the Quantum Correlation of the Quantum Condensate Object and the Differential Scattering Cross Section. Chinese Physics C, 2003, 27(5): 391-394.
[5]	JIANG Jin-Huan , LI Ai-Min , LI Zi-Ping . Quantum Field Theory of Optical Soliton Constrained Systems. Chinese Physics C, 2003, 27(6): 489-492.
[6]	LIU Yao-Yang , SUN La-Zhen , ZHANG Yuan-Zhong , JIANG Xiang-Dong . Unifying Gauge Interaction and Gravity in Vector-Like Standard Model. Chinese Physics C, 2002, 26(4): 319-324.
[7]	GUO Hua . Tensor Coupling in Modified Derivative Scalar Coupling Model. Chinese Physics C, 2000, 24(12): 1157-1164.
[8]	Liu Yaoyang , Sun Lazhen , Jiang Xiangdong . Unification of Gauge Interactions and Gravitation. Chinese Physics C, 1999, 23(11): 1054-1061.
[9]	Chen Zhongqiu , Shao Changgui , Ma Weichuan . Calculation of Wilson Loop Functionals for Classical and Quantum Gravities. Chinese Physics C, 1998, 22(3): 217-224.
[10]	Shao Changgui , Chen Zhongqiu , Ma Weichuan , Chen Yihan , Lin Shuyuan . Curvature Excitation in Quantum Gravity. Chinese Physics C, 1998, 22(2): 117-121.
[11]	Zhang Yang , Deng Yue , Liu Lianshou . On the Constraint of Transverse Momentum Conservation to Dynamic Fluctuations in High Energy Collisions. Chinese Physics C, 1997, 21(2): 130-137.
[12]	Lu Gongru , Li Haibo , Yang Yadong . One Loop PGBs Effects on tt Production in High Energy e⁺e^- Annihilation. Chinese Physics C, 1996, 20(6): 522-532.
[13]	Wang Renchuan , Zhu Dongpei . On the Quantization of Interacting Fields in QED. Chinese Physics C, 1994, 18(11): 1012-1019.
[14]	MIAO Yan-Gang . Extension of the Linear Self-Dual Constraint Theory and Its Quantization. Chinese Physics C, 1993, 17(7): 626-630.
[15]	YAN Jun , HU Shi-Ke . Compact Baby Universe Model in ten Dimension and Probability Function of Quantum Gravity. Chinese Physics C, 1991, 15(10): 890-897.
[16]	YAN Jun , HU Shi-Ke . A Solvable Model in Two-Dimensional Quantum Gravity. Chinese Physics C, 1991, 15(7): 598-605.
[17]	DUAN Yi-Wu , QIU Guo-Chun , BAO Cheng-Guang . MASS EFFECT ON THE INTERNAL MOTIONS IN THREE-BODY SYSTEMS UNDER THE PAIRWISE INTERATION WITH A PEPULSIVE CORE AND AN ATTRACTIVE TAIL. Chinese Physics C, 1989, 13(8): 719-726.
[18]	BAO Cheng-Guang , QIU Guo-Chun , CAO Heng-Dao , GAN You-Ping , LUO Li-Xiong , . INTERNAL MOTIONS OF 3-BODY SYSTEMS UNDER PAIRWISE INTERACTIONS WITH ATTRACTIVE TAIL AND REPULSIVE CORE. Chinese Physics C, 1987, 11(5): 704-707.
[19]	HOU Bo-Yu , LI Wei . VIRASORO ALGEBRA FOR THE THEORY OF THE REDUCED GRAVITY. Chinese Physics C, 1987, 11(1): 137-141.
[20]	YAN MU-LIN , BAO XI-MING , ZHAO BAO-HENG . CANONICAL QUANTIZATION OF GAUGE FIELDS (Ⅲ)——GRAVITATIONAL FIELD. Chinese Physics C, 1979, 3(5): 582-594.

Access

Get Citation

SHAO ChangGui, XIAO JunHua, SHAO Liang, PAN GuiJun and CHEN ZhongQiu. Action of the Diffeomorphism Constraint in the Extended Loop Representation of Quantum Gravity[J]. Chinese Physics C, 2000, 24(5): 390-399.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1999-03-02
Revised: 1900-01-01

Article Metric

Article Views(2725)
PDF Downloads(521)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, [email protected]

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Action of the Diffeomorphism Constraint in the Extended Loop Representation of Quantum Gravity

Corresponding author: SHAO ChangGui,

Institute of Theoretical Physics of Hubei University, Wuhan, 430062 China

Received Date: 1999-03-02
Accepted Date: 1900-01-01
Available Online: 2000-04-05

Abstract: By a different way, we particularized the action of the diffeomorphism constraint (D-constraint) on the abstract wave function in the extended loop representation to the action in the loop representation. Using the two-point propagator of Chern-Simons theory as the basic blocks of quantum gravity states, we constructed the extended knot invariant gravity states (*φ_G)ⁿ that which satisfied with the homogeneous D-constraint. For the states of n=1,2, we demonstrated a detailed proof, To the states of n>2, we gave a general identification.