Scattering Amplitudes in Gauge Theory and Gravity

Scattering Amplitudes in Gauge Theory and Gravity
Author: Henriette Elvang,Yu-tin Huang
Publsiher: Cambridge University Press
Total Pages: 337
Release: 2015-02-05
Genre: Science
ISBN: 9781107069251

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This book provides a comprehensive, pedagogical introduction to scattering amplitudes in gauge theory and gravity for graduate students.

Scattering Amplitudes in Gauge Theories

Scattering Amplitudes in Gauge Theories
Author: Johannes M. Henn,Jan C. Plefka
Publsiher: Springer
Total Pages: 195
Release: 2014-02-07
Genre: Science
ISBN: 9783642540226

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At the fundamental level, the interactions of elementary particles are described by quantum gauge field theory. The quantitative implications of these interactions are captured by scattering amplitudes, traditionally computed using Feynman diagrams. In the past decade tremendous progress has been made in our understanding of and computational abilities with regard to scattering amplitudes in gauge theories, going beyond the traditional textbook approach. These advances build upon on-shell methods that focus on the analytic structure of the amplitudes, as well as on their recently discovered hidden symmetries. In fact, when expressed in suitable variables the amplitudes are much simpler than anticipated and hidden patterns emerge. These modern methods are of increasing importance in phenomenological applications arising from the need for high-precision predictions for the experiments carried out at the Large Hadron Collider, as well as in foundational mathematical physics studies on the S-matrix in quantum field theory. Bridging the gap between introductory courses on quantum field theory and state-of-the-art research, these concise yet self-contained and course-tested lecture notes are well-suited for a one-semester graduate level course or as a self-study guide for anyone interested in fundamental aspects of quantum field theory and its applications. The numerous exercises and solutions included will help readers to embrace and apply the material present ed in the main text.

Grassmannian Geometry of Scattering Amplitudes

Grassmannian Geometry of Scattering Amplitudes
Author: Nima Arkani-Hamed,Jacob Bourjaily,Freddy Cachazo,Alexander Goncharov,Jaroslav Trnka,Alexander Postnikov
Publsiher: Cambridge University Press
Total Pages: 205
Release: 2016-05-05
Genre: Mathematics
ISBN: 9781107086586

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An essential guide to peturbative quantum field theory and its connection to Grassmannian geometry.

Unitarity Methods for Scattering Amplitudes in Perturbative Gauge Theories

Unitarity Methods for Scattering Amplitudes in Perturbative Gauge Theories
Author: Massimiliano Vincon
Publsiher: Unknown
Total Pages: 0
Release: 2009
Genre: Electronic Book
ISBN: OCLC:1180934068

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Introduction to Gauge Field Theory Revised Edition

Introduction to Gauge Field Theory Revised Edition
Author: D. Bailin,Alexander Love
Publsiher: CRC Press
Total Pages: 390
Release: 1993-01-01
Genre: Science
ISBN: 075030281X

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Introduction to Gauge Field Theory provides comprehensive coverage of modern relativistic quantum field theory, emphasizing the details of actual calculations rather than the phenomenology of the applications. Forming a foundation in the subject, the book assumes knowledge of relativistic quantum mechanics, but not of quantum field theory. The book is ideal for graduate students, advanced undergraduates, and researchers in the field of particle physics.

Aspects of Scattering Amplitudes and Moduli Space Localization

Aspects of Scattering Amplitudes and Moduli Space Localization
Author: Sebastian Mizera
Publsiher: Springer Nature
Total Pages: 148
Release: 2020-09-23
Genre: Science
ISBN: 9783030530105

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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 expansion. In order to facilitate efficient computations of intersection numbers the author introduces recursion relations that exploit fibration properties of the moduli space. These are formulated in terms of so-called braid matrices that encode the information of how points braid around each other on the corresponding Riemann surface. Numerous application of this approach are presented for computation of scattering amplitudes in various gauge and gravity theories. This book comes with an extensive appendix that gives a pedagogical introduction to the topic of homologies with coefficients in a local system.

Symmetries of Tree level Scattering Amplitudes in Superconformal Gauge Theories in Three and Four Dimensions

Symmetries of Tree level Scattering Amplitudes in Superconformal Gauge Theories in Three and Four Dimensions
Author: Till Bargheer
Publsiher: Unknown
Total Pages: 178
Release: 2010
Genre: Electronic Book
ISBN: OCLC:711801788

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Methods of Contemporary Gauge Theory

Methods of Contemporary Gauge Theory
Author: Yuri Makeenko
Publsiher: Cambridge University Press
Total Pages: 433
Release: 2023-07-31
Genre: Science
ISBN: 9781009402057

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