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A course in amplitudes. (English) Zbl 1370.81122

Summary: This a pedagogical introduction to scattering amplitudes in gauge theories. It proceeds from Dirac equation and Weyl fermions to the two pivot points of current developments: the recursion relations of Britto, Cachazo, Feng and Witten, and the unitarity cut method pioneered by Bern, Dixon, Dunbar and Kosower. In ten lectures, it covers the basic elements of on-shell methods.

MSC:

81T13 Yang-Mills and other gauge theories in quantum field theory
81U35 Inelastic and multichannel quantum scattering
81U30 Dispersion theory, dispersion relations arising in quantum theory

References:

[1] Peskin, Michael E.; Schroeder, Daniel V., An Introduction to Quantum Field Theory (1995), Addison-Wesley: Addison-Wesley Reading
[2] Mangano, M. L.; Parke, S. J., Multiparton amplitudes in gauge theories, Phys. Rep., 200, 301 (1991)
[4] Johannes, M. Henn; Plfka, Jan C., Scattering amplitudes in Gauge theories, Lecture Notes in Phys., 883, 1-195 (2014) · Zbl 1315.81005
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