An infinite-dimensional calculus for gauge theories

Details An infinite-dimensional calculus for gauge theories An infinite-dimensional calculus for gauge theories

2010-05-08

arxiv.org/abs/1005.1338v1

J. Math. Phys. 52: 052304,2011

Physics

Mathematical Physics

27 pages Latex

Scientific paper

A space for gauge theories is defined, using projective limits as subsets of Cartesian products of homomorphisms from a lattice on the structure group. In this space, non-interacting and interacting measures are defined as well as functions and operators. From projective limits of test functions and distributions on products of compact groups, a projective gauge triplet is obtained, which provides a framework for the infinite-dimensional calculus in gauge theories. The gauge measure behavior on nongeneric strata is also obtained.

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