Dark Energy Content of Nonlinear Electromagnetism

Abstract

Quasi-constant external fields in nonlinear electromagnetism generate a contribution to the energy-momentum tensor with the form of dark energy. To provide a thorough understanding of the origin and strength of the effects, we undertake a complete theoretical and numerical study of the energy-momentum tensor $T^{\mu \nu }$ for nonlinear electromagnetism. The Euler-Heisenberg nonlinearity due to quantum fluctuations of spinor and scalar matter fields is considered and contrasted with the properties of classical nonlinear Born-Infeld electromagnetism. We also address modifications of charged particle kinematics by strong background fields.

16 pages, 12 figures; reorganized introduction and sections 4 and 5, added further numerical results and discussion, updated references, fixed typos

References in corpus (5)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• No Evidence for Dark Energy Dynamics from a Global Analysis of Cosmological Data
• Vacuum Decay Time in Strong External Fields
• Quantization and simulation of Born-Infeld non-linear electrodynamics on a lattice
• Induced electromagnetic fields in non-linear QED

Cited by in corpus (26)

• Numerical study of chiral symmetry breaking in non-Abelian gauge theory with background magnetic field
• Nonlinear $\arcsin$-electrodynamics and asymptotic Reissner-Nordström black holes
• Generalizations of the Smarr formula for black holes with nonlinear electromagnetic fields
• A Smarr formula for charged black holes in nonlinear electrodynamics
• Nonlinear electrodynamics and black holes
• Black Holes in Double-Logarithmic Nonlinear Electrodynamics
• Acceleration and vacuum temperature
• Born-Infeld condensate as a possible origin of neutrino masses and dark energy
• Schwinger pair production rate and time for some space-dependent electromagnetic fields via worldline instantons formalism
• Nonlinear electromagnetic fields and symmetries
• Electromagnetic signal of the QCD phase transition in neutron star mergers
• Spectra of Particles from Laser-Induced Vacuum Decay
• Observational constraints on electromagnetic Born-Infeld cosmology
• Parameter estimation of a nonlinear magnetic universe from observations
• One-way propagation of light in Born-Infeld-like metamaterials
• Structures of General Relativity in Dilaton-Maxwell Electrodynamics
• Traveling Waves in the Euler-Heisenberg Electrodynamics
• Photon traps in nonlinear electrodynamics
• Singularity-free interaction in dilaton-Maxwell electrodynamics
• Vacuum Structure and Dark Energy
• Quantum Vacuum Structure and Cosmology
• Electron EM-mass melting in strong fields
• Least action principle for Lorentz force in dilaton-Maxwell electrodynamics
• Finding quantum effects in strong classical potentials
• Temperature of Electron Fluctuations in an Accelerated Vacuum
• Large quark mass Euler-Heisenberg type action for QCD with quark sources and its Abelian limit