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Prog. Theor. Phys. Vol. 106 No. 2 (2001) pp. 419-443
A Yang-Mills Theory in Loop Space and Generalized Chapline-Manton Coupling
Tadahito Nakajima*
Physics Laboratory, College of Science and Technology,
Nihon University
Funabashi 274-8501, Japan
(Received March 3, 2001)
Abstract:
We consider a Yang-Mills theory in loop space with an affine Lie gauge group.
The Chapline-Manton coupling, the coupling between Yang-Mills fields and
an abelian antisymmetric tensor field of second rank via the Chern-Simons
term, is systematically derived within the framework of the Yang-Mills theory.
The generalized Chapline-Manton couplings, the couplings among non-abelian
tensor fields of second rank, Yang-Mills fields, and an abelian
tensor field of third rank, are also derived by applying the
non-linear realization method to the Yang-Mills theory. These couplings
are accompanied by BF-like terms.
URL :
http://ptp.ipap.jp/link?PTP/106/419/
DOI : 10.1143/PTP.106.419
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