Chern-Simons topological Lagrangians in odd dimensions and their Kaluza-Klein reduction

Journal Article · Wed Aug 01 00:00:00 EDT 1984 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(84)90215-X· OSTI ID:6396784

Wu, Y

Clarifying the behavior of generic Chern-Simons secondary invariants under infinitesimal variation and finite gauge transformation, it is proved that they are eligible to be a candidate term in the Lagrangian in odd dimensions (2k-1 for gauge theories and 4k-1 for gravity). The coefficients in front of these terms may be quantized because of topological reasons. As a possible application, the dimensional reduction of such actions in Kaluza-Klein theory is discussed. The difficulty in defining the Chern-Simons action for topologically nontrivial field configurations is pointed out and resolved.

• Research Organization: Department of Physics, University of Washington, Seattle, Washington 98195
• DOE Contract Number: AC06-81ER40048
• OSTI ID: 6396784
• Journal Information: Ann. Phys. (N.Y.); (United States), Vol. 156:1
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
KALUZA-KLEIN THEORY
GAUGE INVARIANCE
QUANTIZATION
EQUATIONS OF MOTION
LAGRANGIAN FUNCTION
TOPOLOGY
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
UNIFIED-FIELD THEORIES
645400* - High Energy Physics- Field Theory