Phys. Rev. D 68, 125003 (2003) [10 pages]Non-Abelian generalization of Born-Infeld theory inspired by noncommutative geometryReceived 10 July 2003; published 11 December 2003 We present a new non-Abelian generalization of the Born-Infeld Lagrangian. It is based on the observation that the basic quantity defining it is the generalized volume element, computed as the determinant of a linear combination of metric and Maxwell tensors. We propose to extend the notion of the determinant to the tensor product of space-time and a matrix representation of the gauge group. We compute such a Lagrangian explicitly in the case of the SU(2) gauge group and then explore the properties of static, spherically symmetric solutions in this model. We have found a one-parameter family of finite energy solutions. In the last section, the main properties of these solutions are displayed and discussed. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.68.125003
DOI:
10.1103/PhysRevD.68.125003
PACS:
11.15.-q, 11.27.+d, 12.38.Lg, 14.80.Hv
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