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Aspects of Scattering Amplitudes and Moduli Space Localization by Sebastian Mizera is a nonfiction available to read on EtoBox.

What is Aspects of Scattering Amplitudes and Moduli Space Localization about?

This thesis proposes a new perspective on scattering amplitudes in quantum field theories. Their standard formulation in terms of sums over Feynman diagrams is replaced by a computation of geometric invariants, called intersection numbers, on moduli spaces of Riemann surfaces. It therefore gives a physical interpretation of intersection numbers, which have been extensively studied in the mathematics literature in the context of generalized hypergeometric functions. This book explores physical consequences of this formulation, such as recursion relations, connections to geometry and string theory, as well as a phenomenon called moduli space localization.  After reviewing necessary mathematical background, including topology of moduli spaces of Riemann spheres with punctures and its fundamental group, the definition and properties of intersection numbers are presented. A comprehensive list of applications and relations to other objects is given, including those to scattering amplitudes in open- and closed-string theories. The highlights of the thesis are the results regarding localization properties of intersection numbers in two opposite limits: in the low- and the high-energy expan

Who reads Aspects of Scattering Amplitudes and Moduli Space Localization?

Author

Sebastian Mizera

Publisher

Springer International Publishing : Imprint: Springer

Published

2020

Language

EN

ISBN

9783030530105

Category

nonfiction

Subjects

Science, Mathematics, Physics