Accioly, Antonio Jose [UNESP]Gaete, PatricioHelayel-Neto, Jose A.2013-09-302014-05-202013-09-302014-05-202010-12-30International Journal of Modern Physics A. Singapore: World Scientific Publ Co Pte Ltd, v. 25, n. 32, p. 5951-5961, 2010.0217-751Xhttp://hdl.handle.net/11449/24376We calculate the lowest-order corrections to the static potential for both the generalized Born-Infeld electrodynamics and an Euler-Heisenberg-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/r(5)-type) to the Coulomb potential for the generalized Born-Infeld electrodynamics. Interestingly enough, in the Euler-Heisenberg-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.5951-5961engEuler-Heisenberg-like modelBorn-Infeld theorystatic potentialBORN-INFELD ELECTRODYNAMICS and EULER-HEISENBERG-LIKE MODEL: OUTSTANDING EXAMPLES of THE LACK of COMMUTATIVITY AMONG QUANTIZED TRUNCATED ACTIONS and TRUNCATED QUANTIZED ACTIONSArtigo10.1142/S0217751X10051219WOS:000288429300010Acesso restrito