Born–Infeld electrodynamics

E232968

Born–Infeld electrodynamics is a nonlinear modification of classical Maxwell theory proposed to remove the infinite self-energy of point charges by introducing an upper bound on the electromagnetic field strength.

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Predicate Object
instanceOf classical field theory
modification of Maxwell electrodynamics
nonlinear electrodynamics theory
aimsTo remove infinite self-energy of point charges
appliesTo classical electromagnetic fields
assumes maximum electric field magnitude finite
maximum magnetic field magnitude finite
comparedWith Heisenberg–Euler effective Lagrangian
conserves electric charge
field electrodynamics
theoretical physics
framework classical continuum theory
generalizedTo Born–Infeld electrodynamics self-linksurface differs
surface form: Dirac–Born–Infeld action
hasConsequence modification of light propagation in strong fields
vacuum behaves as nonlinear optical medium in strong fields
hasEnergyFeature finite total field energy for point charge
hasEquationType nonlinear field equations
hasLagrangianDensity L = b^2 (1 - sqrt{1 - (1/b^2)(E^2 - B^2) - (1/b^4)(E·B)^2})
hasProperty Lorentz group
surface form: Lorentz invariance

finite self-energy for point charges
gauge invariance
nonlinearity
hasSolutionFeature regular electric field at origin for point charge
influenced modern nonlinear electrodynamics models
inspired studies of causal structure in nonlinear electrodynamics
introduces upper bound on electromagnetic field strength
modifies Maxwell's equations
surface form: Maxwell equations
motivatedBy divergent self-energy problem in classical electrodynamics
search for finite-energy electron model
namedAfter Leopold Infeld
Max Born
parameterIncludes maximum field strength parameter b
predicts absence of field singularity at point charge location
modified Coulomb potential at short distances
proposedBy Leopold Infeld
Max Born
reducesTo Maxwell electrodynamics in the weak-field limit
relatedTo D-brane effective actions
string theory
respects special relativity
typeOfNonlinearity square-root Lagrangian nonlinearity
usedIn models of strong-field astrophysical environments
toy models for quantum gravity phenomenology
uses determinant form of Lagrangian density
yearProposed 1934

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Leopold Infeld knownFor Born–Infeld electrodynamics
Born–Infeld electrodynamics generalizedTo Born–Infeld electrodynamics self-linksurface differs
this entity surface form: Dirac–Born–Infeld action