On string-localized potentials and gauge fields

Detlev Buchholz; Fabio Ciolli; Giuseppe Ruzzi; Ezio Vasselli

doi:10.1007/s11005-019-01203-w

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arXiv · 1904.10055

On string-localized potentials and gauge fields

Detlev Buchholz·Fabio Ciolli·Giuseppe Ruzzi·Ezio Vasselli

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Abstract

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 string-localized vector potentials built from gauge invariant observables and a principle of string-independence. Based on a kinematical model, describing unmovable (static) fields carrying opposite charges, it is shown that these string-localized potentials cannot be used for the description of the gauge bridges between electrically charged fields. These bridges are needed in order to ensure the validity of Gauss' law. This observation does not preclude the existence of Poincaré invariant theories, describing the coupling of string-localized gauge invariant potentials to matter fields. But these potentials are not a full-fledged substitute for the gauge fields in ``usual'' quantum electrodynamics.

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Detlev Buchholz, Fabio Ciolli, Giuseppe Ruzzi, Ezio Vasselli. 2019-06-01. On string-localized potentials and gauge fields. https://doi.org/10.1007/s11005-019-01203-w

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