A Manifestly Gauge-Invariant Approach to Quantum Theories of Gauge Fields
A. Ashtekar, J. Lewandowski, D. Marolf, J. Mourao, T. Thiemann
Abstract
In gauge theories, physical histories are represented by space-time connections modulo gauge transformations. The space of histories is thus intrinsically non-linear. The standard framework of constructive quantum field theory has to be extended to face these kinematical non-linearities squarely. We first present a pedagogical account of this problem and then suggest an avenue for its resolution.
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