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arXiv · 1401.4812

Extension of Chern-Simons forms

Spyros Konitopoulos·George Savvidy
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Abstract

We investigate metric independent, gauge invariant and closed forms in the generalized 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.

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Spyros Konitopoulos, George Savvidy. 2014-01-20. Extension of Chern-Simons forms. https://doi.org/10.1063/1.4882086

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