THE HOLONOMY FUNCTIONAL FORMULATION OF YANG-MILLS FIELD EQUATIONS

WU YONG-SHI

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2024年10月30日

Chinese Physics C> 1979, Vol. 3> Issue(3) : 382-386

THE HOLONOMY FUNCTIONAL FORMULATION OF YANG-MILLS FIELD EQUATIONS

WU YONG-SHI

Institute of Theoretical Physics,Academia Sinica

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Abstract：
Starting from the integral formalism of gauge fields,we reformulate the equa-tions of motion for gauge fields——sourceless Yang-Mills equations——as functional-differential equations of the holonomy functional (i.e.,the phase factors of closedloops).From these equations we derive a set of infinite number of conservationlaws in the functional-differential from for the gauge theories in a two-dimensionalspace-time.

References

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D. Bohm and Y. Aharanov, Phys.Rev., 115 (1959), 485.[2] T. T. Wu and C. N. Yang, Phys.Rev.D12(1975), 3843.[3] 夏道行，复旦学报(自然科学版)，1976 第1期 82页。[4] 沈纯理，复旦学报(自然科学版)，1976 第2期 61页。[5] V. N. Gribov, Materials for the 12th LNPI Winter School, and Nucl. Phys., B139 (1978), 1.[6] 陆启铿，物理学报，23 (1974), 249.[7] S. Kobayashi and K. Nomizu, "Foundations of Differential Geometry”Vol, I (1963).[8] 谷超豪，复旦学报(自然科学版)，1976年第2期51页.[9] C. N. Yang, Phys. Rev. Lett., 33 (1974), 445.[10] E. Brézin, C. Itzykaon. J. Zinn-Justin and J. B. Zuber, (to be published).

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WU YONG-SHI. THE HOLONOMY FUNCTIONAL FORMULATION OF YANG-MILLS FIELD EQUATIONS[J]. Chinese Physics C, 1979, 3(3): 382-386.

WU YONG-SHI. THE HOLONOMY FUNCTIONAL FORMULATION OF YANG-MILLS FIELD EQUATIONS[J]. Chinese Physics C, 1979, 3(3): 382-386. shu

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Received: 1979-02-19
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 HOLONOMY FUNCTIONAL FORMULATION OF YANG-MILLS FIELD EQUATIONS

WU YONG-SHI

Institute of Theoretical Physics,Academia Sinica

Received Date: 1979-02-19
Accepted Date: 1900-01-01
Available Online: 1979-06-05

Abstract: Starting from the integral formalism of gauge fields,we reformulate the equa-tions of motion for gauge fields——sourceless Yang-Mills equations——as functional-differential equations of the holonomy functional (i.e.,the phase factors of closedloops).From these equations we derive a set of infinite number of conservationlaws in the functional-differential from for the gauge theories in a two-dimensionalspace-time.