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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. This Element reviews the current state of affairs on
both the philosophy and the physics side. In particular, it focuses
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, the authors determine a set of yet to
be answered questions to clarify the status of gauge symmetries.
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