Non-Abelian generalization of Born-Infeld theory inspired by non-commutative geometry
arXiv:hep-th/0307105 · doi:10.1103/PhysRevD.68.125003
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 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.
16 pages, 7 figures, latex; Formula (12) has been corrected. This version is the final version sent to Phys.Rev.D
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- Topology of Born-Infeld-AdS Black Hole Phase Transitions: Bulk and CFT Sides
- A study on relativistic lagrangian field theories with non-topological soliton solutions
- Examples of derivation-based differential calculi related to noncommutative gauge theories
- Born-Infeld inspired bosonic action in a noncommutative geometry
- Generalized gauge field theories with non-topological soliton solutions
- Analytical Calculation of Stored Electrostatic Energy per Unit Length for an Infinite Charged Line and an Infinitely Long Cylinder in the Framework of Born-Infeld Electrostatics
- Parallel-plate and spherical capacitors in Born-Infeld electrostatics: An analytical study
- Fermionic extension of the scalar Born-Infeld equation and its relation to the supersymmetric Chaplygin gas
- Cosmological model with Born-Infeld type scalar field