Born-infeld electrodynamics and eulerheisenberg-like model: Outstanding examples of the lack of commutativity among quantized truncated actions and truncated quantized actions

Antonio Accioly, Patricio Gaete, José A. HelaŸel-Neto

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We calculate the lowest-order corrections to the static potential for both the generalized BornInfeld electrodynamics and an EulerHeisenberg-like model, in the presence of a constant external magnetic field. Our analysis is carried out within the framework of the gauge-invariant but path-dependent variables formalism. The calculation reveals a long-range correction (1/r5-type) to the Coulomb potential for the generalized BornInfeld electrodynamics. Interestingly enough, in the EulerHeisenberg-like model, the static potential remains Coulombian. Therefore, contrary to popular belief, the quantized truncated action and the truncated quantized action do not commute at all. © 2010 World Scientific Publishing Company.
Original languageEnglish
Pages (from-to)5951-5961
Number of pages11
JournalInternational Journal of Modern Physics A
DOIs
Publication statusPublished - 30 Dec 2010

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