Journal
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
Volume 1047, Issue -, Pages 1-92Publisher
ELSEVIER
DOI: 10.1016/j.physrep.2023.10.006
Keywords
Scattering amplitudes; S-matrix; Analyticity; Quantum mechanics; Quantum Field Theory; Causality; Locality; Unitarity; Potential scattering; Crossing symmetry; Effective field theory; Bootstrap
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This article discusses the mathematical properties and physical implications of scattering amplitudes, and traces these properties back to physics through simple scattering problems.
You might have heard about various mathematical properties of scattering amplitudes such as analyticity, sheets, branch cuts, discontinuities, etc. What does it all mean? In these lectures, we will take a guided tour through simple scattering problems that will allow us to directly trace such properties back to physics. We will learn how different analytic features of the S-matrix are really consequences of causality, locality of interactions, unitary propagation, and so on.These notes are based on a series of lectures given in Spring 2023 at the Institute for Advanced Study in Princeton and the Higgs Centre School of Theoretical Physics in Edinburgh.(c) 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
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