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+ R ²+R..R.. + R....R.... quantum gravity. The results show that localized curvature excitations of order hκ ²exist 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 inq-deformedAdS₅×S⁵spacetime. 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]	Jiang Junqin. The Calculation of the Fermion Condensates by Using the Improved Hamiltonian. Chinese Physics C, 1998, 22(10): 891-895.
[7]	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.
[8]	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.
[9]	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.
[10]	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.
[11]	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.
[12]	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.
[13]	LI Guo-Qiang,XU Gong-Ou. SELFCONSISTENT SEMICLASSICAL CALCULATION WITH EXTENDED SKYRME FORCES AND THE PROPERTIES OF ISOSCALAR GIANT RESONANCES. Chinese Physics C, 1989, 13(7): 642-651.
[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(3857)
PDF Downloads(543)
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 hκ²exist in this type of higherderivative quantum gravity