A manifestly gauge-invariant approach to quantum theories of gauge fields
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A manifestly gauge-invariant approach to quantum theories of gauge fields

  • Author(s): ASHTEKAR, A
  • LEWANDOWSKI, J
  • MAROLF, D
  • MOURAO, J
  • THIEMANN, T
  • et al.
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 {\it 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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