Breakdown of the Action Method in Gauge Theories

Details Breakdown of the Action Method in Gauge Theories Breakdown of the Action Method in Gauge Theories

2001-10-31

arxiv.org/abs/math-ph/0111001v1

Physics

Mathematical Physics

4 pages, LaTeX

Scientific paper

It is shown that the definition of physical integration measures via ``exponential of minus the action times kinematical integration measure'' typically contradicts properties of physical models. In particular, theories with uncountably many non-vanishing Wilson-loop expectation values cannot be gained this way. The results are rigorous within the Ashtekar approach to gauge field theories.

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