# On string-localized potentials and gauge fields

April 22, 2019

A recent idea, put forward by Mund, Rehren and Schroer, is discussed; it
suggests that in gauge quantum field theory one can replace the point-localized
gauge fields by gauge-invariant, though string-localized vector potentials and
a principle of string-independence. Based on a kinematical model, describing
unmovable (static) point particles carrying opposite charges, it is shown that
these string-localized potentials cannot be used for the description of the
gauge bridges between electric charges. These bridges are needed in order to
ensure the validity of Gauss' law. This observation does not preclude the
existence of Poincar\'e invariant theories, describing the coupling of
string-localized gauge invariant potentials to matter fields. But such theories
can hardly be equivalent to `usual' quantum electrodynamics, as hoped for by
their proposers.

open access link
doi:10.1007/s11005-019-01203-w

@article{Buchholz:2019pyb,
author = "Buchholz, Detlev and Ciolli, Fabio and Ruzzi, Giuseppe
and Vasselli, Ezio",
title = "{On string-localized potentials and gauge fields}",
journal = "Lett. Math. Phys.",
volume = "109",
year = "2019",
number = "12",
pages = "2601-2610",
doi = "10.1007/s11005-019-01203-w",
eprint = "1904.10055",
archivePrefix = "arXiv",
primaryClass = "hep-th",
SLACcitation = "%%CITATION = ARXIV:1904.10055;%%"
}

Keywords:

*none*