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Scattering Amplitudes in Quantum Field Theory

Lecture Notes in Physics, 2023
These lecture notes bridge a gap between introductory quantum field theory (QFT) courses and state-of-the-art research in scattering amplitudes. They cover the path from basic definitions of QFT to amplitudes relevant for processes in the Standard Model ...
Simon Badger   +3 more
semanticscholar   +1 more source

Schrödinger Scattering Amplitude. III

Journal of Mathematical Physics, 1961
The methods of an earlier paper are used to obtain a domain of analyticity for the Schrödinger scattering amplitude minus the first Born term. The connection between the scattering integral equation and the Schrödinger equation is also studied.
Alexander Grossmann, Tai Tsun Wu
openaire   +2 more sources

The Calculation of Scattering Amplitudes

Proceedings of the Physical Society. Section A, 1952
In two earlier papers a differential equation was given for the asymptotic phases required in the two-body scattering problem. The method implied a resolution of the wave function into eigenfunctions of the orbital or total angular momentum as the potential was central or non-central. This feature can be avoided and in this paper a integro-differential
openaire   +2 more sources

Representations of the Scattering Operator and the Scattering Amplitude, and Analyticity Properties of the Scattering Amplitude

1983
Let Ŝ(λ) be the scattering matrix of a scattering system {H, H 0; J}. Then the operator function T(λ):= Ŝ(λ) − 1ℋ λ is called the scattering amplitude. Its definition, like that of Ŝ(λ), depends on the special direct integral representation of P ac 0ℋ0 with respect to H 0. A scattering system is called trivial if Ŝ(λ) = 1ℋ λ for all λ ∈ ⊿0 = specc (H 0
Manfred Wollenberg, Hellmut Baumgärtel
openaire   +2 more sources

Aspects of Scattering Amplitudes and Moduli Space Localization

, 2019
We propose that intersection numbers of certain cohomology classes on the moduli space of genus-zero Riemann surfaces with $n$ punctures, $\mathcal{M}_{0,n}$, compute tree-level scattering amplitudes in quantum field theories with a finite spectrum of ...
Sebastian Mizera
semanticscholar   +1 more source

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