A Born–Infeld scalar and a dynamical violation of the scale invariance from the modified measure action

2019/03/31 by T. O. Vulfs, Eduardo Guendelman, E. I. Guendelman
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Effective action #Geomagnetism and Paleomagnetism Studies #Mathematical physics #Measure (data warehouse) #Metric (unit) #Physics #Quantum mechanics #Scalar (mathematics) #Scalar field #Scale (ratio) #Scale invariance #Theoretical physics #gr-qc #hep-th

paper · pdf · doi:10.1142/s0217732320501989

10 pages

openalex publication_date 2020/06/11 · arxiv created 2020/08/08 · arxiv updated 2020/08/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

Starting with a simple two-scalar field system coupled to a modified measure that is independent of the metric, we, first, find a Born–Infeld dynamics sector of the theory for a scalar field and second, show that the initial scale invariance of the action is dynamically broken and leads to a scale charge nonconservation, although there is still a conserved dilatation current.

Citations

• Emergent universe from scale invariant two measures theory
• Foundations of the new field theory
• Caustics in Tachyon Matter and Other Born-Infeld Scalars
• Brane dynamics from the Born-Infeld action
• Fine-tuning free paradigm of two-measures theory:k-essence, absence of initial singularity of the curvature, and inflation with graceful exit to the zero cosmological constant state
• THE EVOLUTION OF THE UNIVERSE WITH THE B–I TYPE PHANTOM SCALAR FIELD
• Gravitational analogues of nonlinear Born electrodynamics
• Superstrings with the Galileon measure