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《中国物理C》(英文)编辑部
2024年10月30日

THE HOLONOMY FUNCTIONAL FORMULATION OF YANG-MILLS FIELD EQUATIONS

  • 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.
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  • [1] 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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Get Citation
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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THE HOLONOMY FUNCTIONAL FORMULATION OF YANG-MILLS FIELD EQUATIONS

  • Institute of Theoretical Physics,Academia Sinica

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.

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