New Type of Vector Gauge Theory from Noncommutative Geometry

Details New Type of Vector Gauge Theory from Noncommutative Geometry New Type of Vector Gauge Theory from Noncommutative Geometry

1997-09-04

arxiv.org/abs/hep-th/9709040v2

Phys.Lett. B427 (1998) 77-84

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTeX file, to appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(98)00327-X

Using the formalism of noncommutative geometric gauge theory based on the superconnection concept, we construct a new type of vector gauge theory possessing a shift-like symmetry and the usual gauge symmetry. The new shift-like symmetry is due to the matrix derivative of the noncommutative geometric gauge theory, and this gives rise to a mass term for the vector field without introducing the Higgs field. This construction becomes possible by using a constant one form even matrix for the matrix derivative, for which only constant zero form odd matrices have been used so far. The fermionic action in this formalism is also constructed and discussed.

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