局域规范群C~∞(M,G)上不存在有限不变正测度(英文)
Nonexistence of Finite Positive Invariant Measure on Local Gauge Group C∞(M,G)
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摘要: 研究了对 Faddeev- Popov方法有关键意义的局域规范群上不变测度的存在性问题 .证明了局域规范群 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 group C ∞ (M,G) ( M a compact manifold and G a matrix Lie group) there does not exist a finite positive invariant measure.Abstract: In is proved that on the local gauge group C ∞ (M,G) ( M a compact manifold and G a matrix Lie group) there does not exist a finite positive invariant measure.
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