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arXiv · 1005.1338

An infinite-dimensional calculus for gauge theories

Rui Vilela Mendes
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Abstract

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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BibTeXRIS

Rui Vilela Mendes. 2010-05-08. An infinite-dimensional calculus for gauge theories. https://doi.org/10.1063/1.3592919

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