Non-Abelian generalization of Born-Infeld theory inspired by noncommutative geometry

Emmanuel Serié, Thierry Masson, and Richard Kerner
Phys. Rev. D 68, 125003 – Published 11 December 2003
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Abstract

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.

  • Received 10 July 2003

DOI:https://doi.org/10.1103/PhysRevD.68.125003

©2003 American Physical Society

Authors & Affiliations

Emmanuel Serié

  • Laboratoire de Physique Théorique (UMR 8627), Université Paris XI, Bâtiment 210, 91405 Orsay Cedex, France
  • Laboratoire de Physique Théorique des Liquides, Université Pierre-et-Marie-Curie, CNRS UMR 7600, Tour 22, 4-ème étage, Boîte 142, 4, Place Jussieu, 75005 Paris, France

Thierry Masson

  • Laboratoire de Physique Théorique (UMR 8627), Université Paris XI, Bâtiment 210, 91405 Orsay Cedex, France

Richard Kerner

  • Laboratoire de Physique Théorique des Liquides, Université Pierre-et-Marie-Curie, CNRS UMR 7600, Tour 22, 4-ème étage, Boîte 142, 4, Place Jussieu, 75005 Paris, France

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Issue

Vol. 68, Iss. 12 — 15 December 2003

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