TL;DR
This paper reviews the theoretical properties and singularities of scattering amplitudes in quantum field theories, focusing on high-energy limits and illustrating with examples from QCD and gravity.
Contribution
It provides a comprehensive review of amplitude singularities and high-energy behavior, emphasizing their importance in theoretical and phenomenological contexts.
Findings
Classification of amplitude singularities
Analysis of high-energy asymptotic behavior
Examples from QCD and gravity applications
Abstract
Scattering amplitudes in quantum field theories are of widespread interest, due to a large number of theoretical and phenomenological applications. Much is known about the possible behaviour of amplitudes, that is independent of the details of the underlying theory. This knowledge is often neglected in modern QFT courses, and the aim of these notes - aimed at graduate students - is to redress this. We review the possible singularities that amplitudes can have, before examining the generic behaviour that can arise in the high-energy limit. Finally, we illustrate the results using examples from QCD and gravity.
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