English

Infrared problem and spatially local observables in electrodynamics

High Energy Physics - Theory 2008-11-26 v2 Mathematical Physics math.MP

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'.

Keywords

Cite

@article{arxiv.0710.0500,
  title  = {Infrared problem and spatially local observables in electrodynamics},
  author = {Andrzej Herdegen},
  journal= {arXiv preprint arXiv:0710.0500},
  year   = {2008}
}

Comments

30 pages; accepted for publication in Ann. Henri Poincare; a few minor corrections

R2 v1 2026-06-21T09:25:13.275Z