scispace - formally typeset
Search or ask a question

Showing papers by "Jerzy Lewandowski published in 1983"


Journal ArticleDOI
TL;DR: In this paper, a nonlinear modification of the Lorentz condition is shown to correspond to harmonic sections of the principal U(1)-bundle underlying a classical electromagnetic configuration.
Abstract: The Lorentz gauge condition is related to harmonic sections of the principal U(1)-bundle underlying a classical electromagnetic configuration. Minimal sections are shown to correspond to a nonlinear modification of the Lorentz condition. Generalizations to Yang-Mills theory are indicated and harmonic coordinates, in the sense of De Donder and Fock, are related to Hodge's harmonic 1-forms.