This article is cited in 6 papers

Toward a Theory of Non-Abelian Tensor Fields

E. T. Akhmedov

Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)

Abstract: We present a triangulation-independent area-ordering prescription that naturally generalizes the well-known path-ordering prescription. For such a prescription, it is natural that the two-form “connection” carries three “color” indices rather than two, as is the case with the ordinary one-form gauge connection. To define this prescription, we must define exponentiation of a matrix with three indices. The definition uses the fusion-rule structure constants.

Keywords: quantum field theory, non-Abelian tensor fields.

Received: 30.03.2005

DOI: 10.4213/tmf1903

 English version: Theoretical and Mathematical Physics, 2005, 145:3, 1646–1665

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