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Extension of Chern-Simons forms

2014/01/20 by Spyros Konitopoulos, George Savvidy · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1063/1.4882086

LaTex file, 24 pages

arxiv created 2014/01/20 · arxiv updated 2015/06/18

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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