Breakdown of the Action Method in Gauge Theories
Mathematical Physics
2007-05-23 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0111001,
title = {Breakdown of the Action Method in Gauge Theories},
author = {Christian Fleischhack and Jerzy Lewandowski},
journal= {arXiv preprint arXiv:math-ph/0111001},
year = {2007}
}
Comments
4 pages, LaTeX