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Near field in quantum electrodynamics: Green functions, Lorentz condition, “nonlocality in the small”, frustrated total reflection
Author(s) -
Perel'man M.E.
Publication year - 2007
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.200610240
Subject(s) - physics , quantum nonlocality , lorentz transformation , propagator , superluminal motion , quantum electrodynamics , field (mathematics) , quantum mechanics , light cone , electromagnetic field , quantum field theory , scalar (mathematics) , quantum , mathematics , quantum entanglement , pure mathematics , geometry
Investigation of near field in QED requires the refuse from an averaging of the Lorentz condition that smooths out some field peculiarities. Instead of it the Schwinger decomposition of 4‐potential with the Bogoliubov method of interaction switching in time and in space regions is considered. At such approach near field is describable by the part of covariant Green function of QED, the fast‐damping Schwinger function is formed by longitudinal and scalar components of A μ none restricted by light cone. This description reveals possibility of superluminal phenomena within the near field zone as a “nonlocality in the small”. Some specification of the Bogoliubov method allows, as examples, descriptions of near fields of point‐like charge and at FTIR phenomena. Precisely such possibilities of nonlocal interactions are revealed in the common QED expressions for the Van‐der‐Waals and Casimir interactions and in the Förster law.