Quantum Principal Bundles and Corresponding Gauge Theories

Details Quantum Principal Bundles and Corresponding Gauge Theories Quantum Principal Bundles and Corresponding Gauge Theories

1995-07-20

arxiv.org/abs/q-alg/9507021v1

J.Phys.A30:2027-2054,1997

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, AMS-LaTeX

Scientific paper

10.1088/0305-4470/30/6/025

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.

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