Quantum Principal Bundles and Corresponding Gauge Theories
q-alg
2008-11-26 v1 High Energy Physics - Theory
Quantum Algebra
Abstract
A generalization of classical gauge theory is presented, in the framework of a noncommutative-geometric formalism of quantum principal bundles over smooth manifolds. Quantum counterparts of classical gauge bundles, and classical gauge transformations, are introduced and investigated. A natural differential calculus on quantum gauge bundles is constructed and analyzed. Kinematical and dynamical properties of corresponding gauge theories are discussed.
Keywords
Cite
@article{arxiv.q-alg/9507021,
title = {Quantum Principal Bundles and Corresponding Gauge Theories},
author = {Mico Durdevic},
journal= {arXiv preprint arXiv:q-alg/9507021},
year = {2008}
}
Comments
28 pages, AMS-LaTeX