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arXiv · 0706.0762

Propagating modes of non-Abelian tensor gauge field of second rank

Spyros Konitopoulos·George Savvidy
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Abstract

In the recently proposed extension of the YM theory, non-Abelian tensor gauge field of the second rank is represented by a general tensor whose symmetric part describes the propagation of charged gauge boson of helicity two and its antisymmetric part - the helicity zero charged gauge boson. On the non-interacting level these polarizations are similar to the polarizations of the graviton and of the Abelian antisymmetric B field, but the interaction of these gauge bosons carrying non-commutative internal charges cannot be directly identified with the interaction of gravitons or B field. Our intention here is to illustrate this result from different perspectives which would include Bianchi identity for the corresponding field strength tensor and the analysis of the second-order partial differential equation which describes in this theory the propagation of non-Abelian tensor gauge field of the second rank.

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Spyros Konitopoulos, George Savvidy. 2007-06-06. Propagating modes of non-Abelian tensor gauge field of second rank. https://doi.org/10.1088/1751-8113%2F41%2F35%2F355402

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