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题名: Difference discrete connection and curvature on cubic lattice
作者: Wu Ke ;  Zhao Weizhong ;  Guo Hanying
刊名: SCIENCE IN CHINA SERIES A-MATHEMATICS
出版日期: 2006
卷号: 49, 期号:11, 页码:1458-1476
关键词: EULER-LAGRANGE COHOMOLOGY ;  MULTISYMPLECTIC STRUCTURES ;  VARIATIONAL PRINCIPLE ;  GAUGE-THEORY ;  RIEMANNIAN GEOMETRY ;  CALCULUS ;  MECHANICS ;  TIME
学科分类: Physics
通讯作者: Wu, K , Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China
部门归属: Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China; Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
英文摘要: In a way similar to the continuous case formally, we define in different but equivalent manners the difference discrete connection and curvature on discrete vector bundle over the regular lattice as base space. We deal with the difference operators as the discrete counterparts of the derivatives based upon the differential calculus on the lattice. One of the definitions can be extended to the case over the random lattice. We also discuss the relation between our approach and the lattice gauge theory and apply to the discrete integrable systems.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000242922900004
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内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/5868
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
Wu Ke,Zhao Weizhong,Guo Hanying. Difference discrete connection and curvature on cubic lattice[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2006,49(11):1458-1476.
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