Chinese Physics C > 1985, Vol. 9 > Issue(6): 703-711

THE STOCHASTIC EQUATIONS IN THE LATTICE GAUGE FIELD THEORY AND THE SCHWINGER-KYSON EQUATION FOR THE WILSON LOOP VARIABLE

XUE She-Sheng^,,
XIAN Ding-Chang

Abstract
HTML
Reference
Related

PDF

Abstract：
The method of stochastic quantization is applied to the lattice gauge field theory and the Langevin equations for the link and Wilson loop variables are established for the U( N) and SU( N) cases. The relation between the Langevin equation and the Schwinger-Dyson equation for the Wilson loop is discussed.

References

[1]

G. Parisi, Nucl. Phys., B180 [FS2] (1981), 378.[2] G. Parisi and Y. S. Wu, Scientia Sinica, 24(1981), 483.[3] G. Parisi et al., Nucl. Phys., B215 (1983), 256.[4] A. Guha and S.-C. Lee, Phys. Letts., 134B (1984), 216.[5] J. Greensite, Phys. Letts., 121B (1983), 169.R. Jengo and N. Parga, Phys. Letts., 134B (1984), 221.[6] C. Brower and M. Nauenberg, Nucl. Phys., B180 [FS2], (1981), 221.[7] G. Aldazabal et al., Phys. Letts., 125B (1983), 305.

[1]	Ya-Peng Zhao,Rui-Rui Zhang,Han Zhang,Hong-Shi Zong. Chiral phase transition from the Dyson-Schwinger equations in a finite spherical volume. Chinese Physics C, 2019, 43(6): 063101.doi:10.1088/1674-1137/43/6/063101
[2]	J. B. Wei,H. Chen,H. -J. Schulze. Two-flavor hybrid stars with the Dyson-Schwinger quark model. Chinese Physics C, 2017, 41(11): 115101.doi:10.1088/1674-1137/41/11/115101
[3]	ZHOU Li-Juan,ZHENG Bo,ZHONG Hong-Wei,MA Wei-Xing. Temperature dependence of quarks and gluon vacuum condensate in the Dyson-Schwinger Equations at finite temperature. Chinese Physics C, 2015, 39(3): 033101.doi:10.1088/1674-1137/39/3/033101
[4]	JIANG Jun-Qin. Quark Condensate in Two-Dimensional SU(N_C) Lattice Gauge Theory with Massive Wilson Quarks. Chinese Physics C, 2007, 31(1): 19-22.
[5]	SHI Yuan-Mei,PING Jia-Lun,HE Han-Xin. Two Renormalization Approaches for the Dyson-Schwinger Equations in the Infrared. Chinese Physics C, 2006, 30(9): 833-837.
[6]	ZHOU Li-Juan,MA Wei-Xing. Quark-Gluon Mixed Vacuum Condensates in Dyson-Schwinger Equations. Chinese Physics C, 2005, 29(8): 757-760.
[7]	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.
[8]	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.
[9]	CHEN Qi-Zhou,FANG Xi-Yan,XU Guo-Cai,LIU Jin-Ming,LUO Xiang-Qian. Variational Study of. Chinese Physics C, 1991, 15(6): 518-523.
[10]	CHEN Qi-Zhou,ZHENG Wei-Hong,LUO Xiang-Qian,FANG Xi-Yan. Variational Study of <ψψ> in the Lattice Schwinger Model. Chinese Physics C, 1991, 15(1): 23-28.
[11]	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.
[12]	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.
[13]	ZHENG Bo. THE EXACT GROUND STATE AND STRING TENSION OF MASSIVE LATTICE SCHWINGER MODELS. Chinese Physics C, 1989, 13(10): 956-960.
[14]	ZHENG Bo. EXACT CALCULATION OF STRING TENSIONS OF LATTICE SCHWINGER MODELS. Chinese Physics C, 1989, 13(9): 860-864.
[15]	ZHENG Bo,GUO Shuo-Hong. AN EXACT SOLUTION OF THE NAIVE SCHWINGER MODEL ON LATTICE. Chinese Physics C, 1989, 13(8): 696-700.
[16]	ZHENG Bo. THE EXACT GROUND STATE OF THE LATTICE SCHWINGER MODEL. Chinese Physics C, 1989, 13(8): 760-764.
[17]	XUE She-Sheng. A MEAN FIELD SOLUTION TO FOKKER-PLANCK EQUATION IN LATTICE GAUGE THEORIES. Chinese Physics C, 1988, 12(2): 178-181.
[18]	CHEN De-Fang,SONG Yong-Shen,CHEN Tian-Lun,ZHENG Xi-Te,HE Xiang-Hao,XIAN Ding-Chang. ON THE ANALYTICAL STUDY IN LATTICE GAUGE FIELD THEORY. Chinese Physics C, 1986, 10(1): 32-39.
[19]	Zhou Xian-jian,Xue Pei-you. WEAK COUPLING APPROXIMATE SCHWINGER-DYSON EQUATION OF THE STRATON'S PROPAGATOR IN QUANTUM CHROMODYNAMICS AND ITS SOLUTIONS. Chinese Physics C, 1980, 4(1): 49-62.
[20]	ZHOU GUANG-ZHAO,SU ZHAO-BING. ON THE DYSON EQUATION AND THE WARD-TAKAHASHI IDENTITIES OF THE CLOSED TIME PATH GREEN'S FUNCTIONS. Chinese Physics C, 1979, 3(3): 314-326.

Access

Get Citation

XUE She-Sheng and XIAN Ding-Chang. THE STOCHASTIC EQUATIONS IN THE LATTICE GAUGE FIELD THEORY AND THE SCHWINGER-KYSON EQUATION FOR THE WILSON LOOP VARIABLE[J]. Chinese Physics C, 1985, 9(6): 703-711.

XUE She-Sheng and XIAN Ding-Chang. THE STOCHASTIC EQUATIONS IN THE LATTICE GAUGE FIELD THEORY AND THE SCHWINGER-KYSON EQUATION FOR THE WILSON LOOP VARIABLE[J]. Chinese Physics C, 1985, 9(6): 703-711. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3435)
PDF Downloads(413)
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

THE STOCHASTIC EQUATIONS IN THE LATTICE GAUGE FIELD THEORY AND THE SCHWINGER-KYSON EQUATION FOR THE WILSON LOOP VARIABLE

XUE She-Sheng^,
XIAN Ding-Chang

Corresponding author:XUE She-Sheng,

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1985-12-05

Abstract:The method of stochastic quantization is applied to the lattice gauge field theory and the Langevin equations for the link and Wilson loop variables are established for theU(N) andSU(N) cases. The relation between the Langevin equation and the Schwinger-Dyson equation for the Wilson loop is discussed.