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

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

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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

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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.

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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

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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

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 the U(N) and SU(N) cases. The relation between the Langevin equation and the Schwinger-Dyson equation for the Wilson loop is discussed.