Infrared problem and spatially local observables in electrodynamics
arXiv:0710.0500 · doi:10.1007/s00023-008-0359-7
Abstract
An algebra previously proposed as an asymptotic field structure in electrodynamics is considered in respect of localization properties of fields. Fields are 'spatially local' -- localized in regions resulting as unions of two intersecting (solid) lightcones: a future- and a past-lightcone. This localization remains in concord with the usual idealizations connected with the scattering theory. Fields thus localized naturally include infrared characteristics normally placed at spacelike infinity and form a structure respecting Gauss law. When applied to the description of the radiation of an external classical current the model is free of 'infrared catastrophe'.
30 pages; accepted for publication in Ann. Henri Poincare; a few minor corrections