QUANTIZATION BY NON-ABELIAN PROMEASURES

被引:0
|
作者
CLARKE, CJS
机构
[1] Fac. of Math. Studies, Southampton Univ.
来源
关键词
D O I
10.1088/0305-4470/23/20/008
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A new method is proposed for the non-perturbative quantization of certain nonlinear field theories (group-bundle theories), based on a generalization of the idea of a promeasure from vector spaces to infinite-dimensional Lie groups. The quantum theory is not automatically finite, but there is a natural way of imposing a momentum cut-off, leading to the possibility of renormalization. The method relies on the geometrical structure of the classical theory and so may provide clues for the quantization of gravity.
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页码:4463 / 4470
页数:8
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