Extension of Chern-Simons forms

Journal Article · Sun Jun 15 00:00:00 EDT 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4882086· OSTI ID:22306206

Konitopoulos, Spyros; Savvidy, George ^[1]

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1. Demokritos National Research Center, Ag. Paraskevi, Athens (Greece)

We investigate metric independent, gauge invariant, and closed forms in the generalized Yang-Mills (YM) theory. These forms are polynomial on the corresponding fields strength tensors – curvature forms and are analogous to the Pontryagin-Chern densities in the YM gauge theory. The corresponding secondary characteristic classes have been expressed in integral form in analogy with the Chern-Simons form. Because they are not unique, the secondary forms can be dramatically simplified by the addition of properly chosen differentials of one-step-lower-order forms. Their gauge variation can also be found yielding the potential anomalies in the gauge field theory.

• OSTI ID: 22306206
• Journal Information: Journal of Mathematical Physics, Vol. 55, Issue 6; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL GEOMETRY
GAUGE INVARIANCE
QUANTUM FIELD THEORY
TENSORS
TOPOLOGY
YANG-MILLS THEORY