An infinite-dimensional calculus for gauge theories
Mathematical Physics
2015-05-18 v1 High Energy Physics - Theory
Functional Analysis
math.MP
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.
Cite
@article{arxiv.1005.1338,
title = {An infinite-dimensional calculus for gauge theories},
author = {Rui Vilela Mendes},
journal= {arXiv preprint arXiv:1005.1338},
year = {2015}
}
Comments
27 pages Latex