Calculation of Wilson Loop Functionals for Classical and Quantum Gravities

Chen Zhongqiu; Shao Changgui; Ma Weichuan

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> 1998, Vol. 22> Issue(3) : 217-224

Calculation of Wilson Loop Functionals for Classical and Quantum Gravities

Department of Physics, Hubei University, Wuhan 430062

Abstract
HTML
Reference
Related

PDF

Abstract：
Using perturbative method we calculate Wilson loop functionals (WLFs) for Kerr gravitational field and for R+ R²+R..R.. + R....R.... quantum gravity. The results show that localized curvature excitations of order hκ² exist in this type of higherderivative quantum gravity

References

[1]

Ashtekar A.New Perspectives in Canonical Gravity（with Invited Contributions）.Naples:Bibliopolis.1988[2]Rovelli C,Smolin L.Nucl.Phys.,1990,B331:80-152[3]DiBartolo C,Gambini R,Griego J.Phys.Rev.,1995,D51（2）:502-516[4]Modanese G.Phys.Rev.,1994,D49:6534-6542[5]Kerr R P.Phys.Rev.Lett,1963,11:237-240[6]Modanese G.Phys.Lett,1992,B288:69-71[7]Shao Changgui,Chen Zhongqiu.J Hubei University（Natural Science Edition,in Chinese）,1995,17（4）:401-407（邵常贵，陈中秋。湖北大学学报（自然科学版）,1995,17（4）:401-407）[8]Stelle K S.Phys.Rev.,1977,D16:953-969

[1]	Hao Ouyang , Jun-Bao Wu , Jia-Ju Zhang . Exact results for Wilson loops in orbifold ABJM theory. Chinese Physics C, 2016, 40(8): 083101. doi: 10.1088/1674-1137/40/8/083101
[2]	BAI Nan , CHEN Hui-Huang , WU Jun-Bao . Holographic cusped Wilson loops in q-deformed AdS₅× S⁵ spacetime. Chinese Physics C, 2015, 39(10): 103102. doi: 10.1088/1674-1137/39/10/103102
[3]	ZHANG Chao , ZHENG Xiao-Ping . Kinetic-Theory Approach to the “Hard Thermal Loop” Self-Energy Including Chemical Potential. Chinese Physics C, 2003, 27(1): 63-66.
[4]	LIU Fang , LI Jun-Qing , XING Yong-Zhong . Quantum Classical Correspondence in a 2-Dimensional Deformed Harmonic Oscillator System. Chinese Physics C, 2002, 26(9): 949-954.
[5]	SHAO ChangGui , XIAO JunHua , SHAO Liang , PAN GuiJun , CHEN ZhongQiu . Action of the Diffeomorphism Constraint in the Extended Loop Representation of Quantum Gravity. Chinese Physics C, 2000, 24(5): 390-399.
[6]	Chen Xiandjun , Zhang Weining , Huo Lei , Liu Yiming . Classical Transport Equation of Quarks Consistent With Quantum Transport Equation. Chinese Physics C, 1998, 22(3): 241-246.
[7]	Jiang Junqin . The Calculation of the Fermion Condensates by Using the Improved Hamiltonian. Chinese Physics C, 1998, 22(10): 891-895.
[8]	Liu Hang , Zuo Wei , Li Xiguo , Liu Jianye , Wang Shunjin . Two-Body Correlation Transport Theory for Heavy Ion Collision Ⅲ.Numerical Study for Semiclassical Approximation. Chinese Physics C, 1997, 21(2): 169-175.
[9]	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.
[10]	Jiang Junqin , Xu Guocai , Chen Qizhou . The Calculation of M_v/m in the Lattice Schwinger Model with Massive Wilson Fermions. Chinese Physics C, 1994, 18(3): 222-228.
[11]	XU Guocai , JIANG Junqin , CHEN Qizhou . Variational Study of 〈ψψ〉 in the Lattice Schwinger Model with Wilson Fermions. Chinese Physics C, 1993, 17(11): 1011-1015.
[12]	BAI Zhi-Ming , JIANG Yuan-Fang . The One Loop Calculation of the Strong coupling β Function in the Toy Model. Chinese Physics C, 1991, 15(3): 213-219.
[13]	CHEN Qi-Zhou , LI Zhi-Bing , LUO Xiang-Qian , DAI Fu-Hua , GUO Shuo-Hong . VACUUM EXPECTATION VALUES OF 6-LINK WILSON LOOP IN SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1990, 14(3): 212-219.
[14]	LI Guo-Qiang , XU Gong-Ou . SEMICLASSICAL CALCULATION OF HEAT CAPACITY AND INCOMPRESSIBILITY OF HOT NUCLEI. Chinese Physics C, 1989, 13(10): 930-937.
[15]	SUN Chang-Pu . A CLASSICAL MODLE OF QUANTUM BERRY'S PHASE FACTOR. Chinese Physics C, 1989, 13(2): 109-115.
[16]	LI Zhi-Bing , ZHENG Wei-Hong , GUO Shuo-Hong . THE WILSON LOOP EXPECTATION VALUES IN 2-AND 3-DIMENSIONAL su(2) LGT. Chinese Physics C, 1989, 13(6): 512-517.
[17]	XUE She-Sheng , XIAN Ding-Chang . THE STOCHASTIC EQUATIONS IN THE LATTICE GAUGE FIELD THEORY AND THE SCHWINGER-KYSON EQUATION FOR THE WILSON LOOP VARIABLE. Chinese Physics C, 1985, 9(6): 703-711.
[18]	LI Chong-Sheng , HU Shi-Ke . ONE LOOP CORRECTIONS OF THE FERMION MASSES AND THE CP-VIOLATION CALCULATIONS OF THE STRONG AND WEAK INTERACTIONS. Chinese Physics C, 1983, 7(3): 333-341.
[19]	WANG KE-LIN . GENERATING FUNCTIONAL AND STRUCTURE OF VACUUM. Chinese Physics C, 1981, 5(3): 378-380.
[20]	WU YONG-SHI . THE HOLONOMY FUNCTIONAL FORMULATION OF YANG-MILLS FIELD EQUATIONS. Chinese Physics C, 1979, 3(3): 382-386.

Access

Get Citation

Chen Zhongqiu, Shao Changgui and Ma Weichuan. Calculation of Wilson Loop Functionals for Classical and Quantum Gravities[J]. Chinese Physics C, 1998, 22(3): 217-224.

Chen Zhongqiu, Shao Changgui and Ma Weichuan. Calculation of Wilson Loop Functionals for Classical and Quantum Gravities[J]. Chinese Physics C, 1998, 22(3): 217-224. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2558)
PDF Downloads(541)
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, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Calculation of Wilson Loop Functionals for Classical and Quantum Gravities

Corresponding author: Chen Zhongqiu,

Department of Physics, Hubei University, Wuhan 430062

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1998-03-05

Abstract: Using perturbative method we calculate Wilson loop functionals (WLFs) for Kerr gravitational field and for R+ R²+R..R.. + R....R.... quantum gravity. The results show that localized curvature excitations of order hκ² exist in this type of higherderivative quantum gravity