BORN-INFELD ELECTRODYNAMICS and EULER-HEISENBERG-LIKE MODEL: OUTSTANDING EXAMPLES of THE LACK of COMMUTATIVITY AMONG QUANTIZED TRUNCATED ACTIONS and TRUNCATED QUANTIZED ACTIONS
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Data
2010-12-30
Autores
Accioly, Antonio Jose [UNESP]
Gaete, Patricio
Helayel-Neto, Jose A.
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Editor
World Scientific Publ Co Pte Ltd
Resumo
We 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.
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Euler-Heisenberg-like model, Born-Infeld theory, static potential
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International Journal of Modern Physics A. Singapore: World Scientific Publ Co Pte Ltd, v. 25, n. 32, p. 5951-5961, 2010.