2004/04/22 by Dmitriy Palatnik, Palatnik, Dmitriy
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.gr-qc/0404097
11 pages, 0 figures
openalex publication_date 2004/04/22 · arxiv created 2004/10/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This note suggests a generalization of the Born--Infeld action (1932) on case of electroweak and gravitational fields in four-dimensional spacetime. The action is constructed from Dirac matrices, γa, and dimensionless covariant derivatives, πa = - iℓ ∇a, where ℓ is of order of magnitude of Planck's length. By a postulate, the action possesses additional symmetry with respect to global transformations of the Lorentz group imposed on pairs (γa, πa). It's shown, that parameter of the Lorentz group is associated with a constant value of the electroweak potential at spatial infinity. It follows, that in linear and quadratic in ℓ2 approximation, action for gravitational field coincides with Einstein-Hilbert (EH) and Gauss-Bonnet (GB).