Gauge Symmetries, Symmetry Breaking, and Gauge-Invariant Approaches

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Philipp Berghofer (Universität Graz, Austria) Jordan François (Masarykova univerzita, Czech Republic)

Gauge Symmetries, Symmetry Breaking, and Gauge-Invariant Approaches

Philipp Berghofer (Universität Graz, Austria), Jordan François (Masarykova univerzita, Czech Republic), Simon Friederich (Rijksuniversiteit Groningen, The Netherlands) , Henrique Gomes (University of Cambridge)

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English

Cambridge University Press
03 August 2023

Philosophy of science; Particle & high-energy physics; Mathematical physics

Series: Elements in the Foundations of Contemporary Physics

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.

By: Philipp Berghofer (Universität Graz Austria), Jordan François (Masarykova univerzita, Czech Republic), Simon Friederich (Rijksuniversiteit Groningen, The Netherlands), Henrique Gomes (University of Cambridge), Guy Hetzroni (Open University of Israel)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 230mm, Width: 150mm, Spine: 10mm
Weight: 194g
ISBN: 9781009197229
ISBN 10: 1009197223
Series: Elements in the Foundations of Contemporary Physics
Pages: 124
Publication Date: 03 August 2023
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

1. Introduction; 2. State of the Art: The Interpretation of Gauge Symmetries; 3. Symmetry Breaking and the BEH Mechanism; 4. Motivating Gauge-Invariant Approaches; 5. The Dressing Field Method of Gauge Symmetry reduction; 6. The FMS Approach; 7. Critical Assessment, Reflections, and Challenges; References.