Gauge Symmetries, Symmetry Breaking, and Gauge-Invariant Approaches

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Main Authors: Berghofer, Philipp, François, Jordan, Friederich, Simon, Gomes, Henrique, Hetzroni, Guy, Maas, Axel, Sondenheimer, René
Format: Preprint
Published: 2021
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author Berghofer, Philipp
François, Jordan
Friederich, Simon
Gomes, Henrique
Hetzroni, Guy
Maas, Axel
Sondenheimer, René
author_facet Berghofer, Philipp
François, Jordan
Friederich, Simon
Gomes, Henrique
Hetzroni, Guy
Maas, Axel
Sondenheimer, René
contents Gauge symmetries play a central role, both in the mathematical foundations as well as the conceptual construction of modern (particle) physics theories. However, it is yet unclear whether they form a necessary component of theories, or whether they can be eliminated. It is also unclear whether they are merely an auxiliary tool to simplify (and possibly localize) calculations or whether they contain independent information. Therefore their status, both in physics and philosophy of physics, remains to be fully clarified. In this overview we review the current state of affairs on both the philosophy and the physics side. In particular, we focus on the circumstances in which the restriction of gauge theories to gauge invariant information on an observable level is warranted, using the Brout-Englert-Higgs theory as an example of particular current importance. Finally, we determine a set of yet to be answered questions to clarify the status of gauge symmetries.
format Preprint
id arxiv_https___arxiv_org_abs_2110_00616
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Gauge Symmetries, Symmetry Breaking, and Gauge-Invariant Approaches
Berghofer, Philipp
François, Jordan
Friederich, Simon
Gomes, Henrique
Hetzroni, Guy
Maas, Axel
Sondenheimer, René
History and Philosophy of Physics
High Energy Physics - Lattice
High Energy Physics - Phenomenology
High Energy Physics - Theory
Gauge symmetries play a central role, both in the mathematical foundations as well as the conceptual construction of modern (particle) physics theories. However, it is yet unclear whether they form a necessary component of theories, or whether they can be eliminated. It is also unclear whether they are merely an auxiliary tool to simplify (and possibly localize) calculations or whether they contain independent information. Therefore their status, both in physics and philosophy of physics, remains to be fully clarified. In this overview we review the current state of affairs on both the philosophy and the physics side. In particular, we focus on the circumstances in which the restriction of gauge theories to gauge invariant information on an observable level is warranted, using the Brout-Englert-Higgs theory as an example of particular current importance. Finally, we determine a set of yet to be answered questions to clarify the status of gauge symmetries.
title Gauge Symmetries, Symmetry Breaking, and Gauge-Invariant Approaches
topic History and Philosophy of Physics
High Energy Physics - Lattice
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2110.00616