Some Remarks on Nonlinear Electrodynamics

Abstract EN

By using the gauge-invariant, but path-dependent, variables formalism, we study both massive Euler-Heisenberg-like and Euler-Heisenberg-like electrodynamics in the approximation of the strong-field limit.

It is shown that massive Euler-Heisenberg-type electrodynamics displays the vacuum birefringence phenomenon.

Subsequently, we calculate the lowest-order modifications to the interaction energy for both classes of electrodynamics.

As a result, for the case of massive Euler-Heisenbeg-like electrodynamics (Wichmann-Kroll), unexpected features are found.

We obtain a new long-range (1/r3-type) correction, apart from a long-range (1/r5-type) correction to the Coulomb potential.

Furthermore, Euler-Heisenberg-like electrodynamics in the approximation of the strong-field limit (to the leading logarithmic order) displays a long-range (1/r5-type) correction to the Coulomb potential.

Besides, for their noncommutative versions, the interaction energy is ultraviolet finite.