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研究了对Faddeev-域规范群C∞(M,G)(M为一紧致流形, G为一矩阵李群)上不存在有限的平移不变的正测度.

In is proved that on the local gauge gr oup C∞(M,G)(M a compact manifold and G a matrix Lie group) th ere does not exist a finite positive invariant measure.

参考文献

[1] Feynman R P. Space-time Approach to Non-relativis tic Quantum Mechanics[J]. Rev Mod Phys, 1948, 20: 367-287.
[2] Faddeev L D, Popov V N. Feynman Diagrams for the Yang-Mills Fields[J]. Phys Lett, 1967, B25: 29-31.
[3] Christ N H, Lee T D. Operator Ordering and Feynm an Rul es in Gauge Theories[J]. Phys Rev, 1980, D22: 939-958.
[4] Milnor J. Infinite-dimensional Lie Groups: Relativity, groups and topology II[C]. In: DeWitt B S, Stora R ed. Amster dam: North Holland, 1984, 1 007-1 057.
[5] Cheng H, Tsai E C. In consistency of Feynman Rules Derived via Path Integral[J]. Phys Rev Lett, 1986, 57: 511-514.
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