Scattering Amplitudes In Quantum Field Theory
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Author | : Simon Badger |
Publisher | : Springer Nature |
Total Pages | : 312 |
Release | : 2024-02-01 |
Genre | : Science |
ISBN | : 3031469879 |
Download Scattering Amplitudes in Quantum Field Theory Book in PDF, Epub and Kindle
This open access book bridges a gap between introductory Quantum Field Theory (QFT) courses and state-of-the-art research in scattering amplitudes. It covers the path from basic definitions of QFT to amplitudes, which are relevant for processes in the Standard Model of particle physics. The book begins with a concise yet self-contained introduction to QFT, including perturbative quantum gravity. It then presents modern methods for calculating scattering amplitudes, focusing on tree-level amplitudes, loop-level integrands and loop integration techniques. These methods help to reveal intriguing relations between gauge and gravity amplitudes and are of increasing importance for obtaining high-precision predictions for collider experiments, such as those at the Large Hadron Collider, as well as for foundational mathematical physics studies in QFT, including recent applications to gravitational wave physics.These course-tested lecture notes include numerous exercises with solutions. Requiring only minimal knowledge of QFT, they are well-suited for MSc and PhD students as a preparation for research projects in theoretical particle physics. They can be used as a one-semester graduate level course, or as a self-study guide for researchers interested in fundamental aspects of quantum field theory.
Author | : Johannes M. Henn |
Publisher | : Springer |
Total Pages | : 206 |
Release | : 2014-02-07 |
Genre | : Science |
ISBN | : 3642540228 |
Download Scattering Amplitudes in Gauge Theories Book in PDF, Epub and Kindle
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.
Author | : Henriette Elvang |
Publisher | : Cambridge University Press |
Total Pages | : 337 |
Release | : 2015-02-05 |
Genre | : Science |
ISBN | : 1107069254 |
Download Scattering Amplitudes in Gauge Theory and Gravity Book in PDF, Epub and Kindle
This book provides a comprehensive, pedagogical introduction to scattering amplitudes in gauge theory and gravity for graduate students.
Author | : Simon Badger |
Publisher | : |
Total Pages | : 0 |
Release | : 2024 |
Genre | : Mathematical physics |
ISBN | : 9783031469886 |
Download Scattering Amplitudes in Quantum Field Theory Book in PDF, Epub and Kindle
Introduction and Foundations -- On-shell Techniques for Tree-level Amplitudes -- Loop Integrands and Amplitudes -- Loop Integration Techniques and Special Functions -- Solutions to the Exercises. .
Author | : Mark Srednicki |
Publisher | : Cambridge University Press |
Total Pages | : 664 |
Release | : 2007-01-25 |
Genre | : Science |
ISBN | : 1139462768 |
Download Quantum Field Theory Book in PDF, Epub and Kindle
Quantum field theory is the basic mathematical framework that is used to describe elementary particles. This textbook provides a complete and essential introduction to the subject. Assuming only an undergraduate knowledge of quantum mechanics and special relativity, this book is ideal for graduate students beginning the study of elementary particles. The step-by-step presentation begins with basic concepts illustrated by simple examples, and proceeds through historically important results to thorough treatments of modern topics such as the renormalization group, spinor-helicity methods for quark and gluon scattering, magnetic monopoles, instantons, supersymmetry, and the unification of forces. The book is written in a modular format, with each chapter as self-contained as possible, and with the necessary prerequisite material clearly identified. It is based on a year-long course given by the author and contains extensive problems, with password protected solutions available to lecturers at www.cambridge.org/9780521864497.
Author | : Daniel Iagolnitzer |
Publisher | : Princeton University Press |
Total Pages | : 312 |
Release | : 2014-07-14 |
Genre | : Science |
ISBN | : 1400863163 |
Download Scattering in Quantum Field Theories Book in PDF, Epub and Kindle
Axiomatic and constructive approaches to quantum field theory first aim to establish it on precise, non-perturbative bases: general axioms and rigorous definition of specific theories respectively. From the viewpoint of particle physics, the goal is then to develop a relativistic scattering theory, including particle analysis and the derivation of general properties of collision amplitudes. Taking into account successive improvements, this book provides a modern, self-contained, and coherent presentation of important developments from the last twenty years, most of which have not been treated or discussed in detail in earlier books. These developments include in particular the axiomatic derivation, in massive theories, of general causal and momentum-space analyticity properties of multiparticle collision amplitudes; the constructive definition, initially in the (unphysical) euclidean space, of various models including non-super-renormalizable theories treated in the 1980s via phase-space expansions; and the subsequent constructive approach to scattering theory, which provides information on the mass spectrum, asymptotic completeness, and multiparticle structure in increasingly higher energy regions. Originally published in 1993. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author | : Michael E. Peskin |
Publisher | : CRC Press |
Total Pages | : 866 |
Release | : 2018-05-04 |
Genre | : Science |
ISBN | : 0429972105 |
Download An Introduction To Quantum Field Theory Book in PDF, Epub and Kindle
An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.
Author | : Nima Arkani-Hamed |
Publisher | : Cambridge University Press |
Total Pages | : 205 |
Release | : 2016-05-05 |
Genre | : Science |
ISBN | : 1316571645 |
Download Grassmannian Geometry of Scattering Amplitudes Book in PDF, Epub and Kindle
Outlining a revolutionary reformulation of the foundations of perturbative quantum field theory, this book is a self-contained and authoritative analysis of the application of this new formulation to the case of planar, maximally supersymmetric Yang–Mills theory. The book begins by deriving connections between scattering amplitudes and Grassmannian geometry from first principles before introducing novel physical and mathematical ideas in a systematic manner accessible to both physicists and mathematicians. The principle players in this process are on-shell functions which are closely related to certain sub-strata of Grassmannian manifolds called positroids - in terms of which the classification of on-shell functions and their relations becomes combinatorially manifest. This is an essential introduction to the geometry and combinatorics of the positroid stratification of the Grassmannian and an ideal text for advanced students and researchers working in the areas of field theory, high energy physics, and the broader fields of mathematical physics.
Author | : Mathew Richard Bullimore |
Publisher | : Springer Science & Business Media |
Total Pages | : 130 |
Release | : 2013-10-22 |
Genre | : Science |
ISBN | : 3319009095 |
Download Scattering Amplitudes and Wilson Loops in Twistor Space Book in PDF, Epub and Kindle
Scattering amplitudes are fundamental and rich observables in quantum field theory. Based on the observation that, for massless particles of spin-one or more, scattering amplitudes are much simpler than expected from traditional Feynman diagram techniques, the broad aim of this work is to understand and exploit this hidden structure. It uses methods from twistor theory to provide new insights into the correspondence between scattering amplitudes in supersymmetric Yang-Mills theory and null polygonal Wilson loops. By additionally exploiting the symmetries of the problem, the author succeeds in developing new ways of computing scattering amplitudes.
Author | : Henriette Elvang |
Publisher | : Cambridge University Press |
Total Pages | : 337 |
Release | : 2015-02-05 |
Genre | : Science |
ISBN | : 1316195139 |
Download Scattering Amplitudes in Gauge Theory and Gravity Book in PDF, Epub and Kindle
Providing a comprehensive, pedagogical introduction to scattering amplitudes in gauge theory and gravity, this book is ideal for graduate students and researchers. It offers a smooth transition from basic knowledge of quantum field theory to the frontier of modern research. Building on basic quantum field theory, the book starts with an introduction to the spinor helicity formalism in the context of Feynman rules for tree-level amplitudes. The material covered includes on-shell recursion relations, superamplitudes, symmetries of N=4 super Yang–Mills theory, twistors and momentum twistors, Grassmannians, and polytopes. The presentation also covers amplitudes in perturbative supergravity, 3D Chern–Simons matter theories, and color-kinematics duality and its connection to 'gravity=(gauge theory)x(gauge theory)'. Basic knowledge of Feynman rules in scalar field theory and quantum electrodynamics is assumed, but all other tools are introduced as needed. Worked examples demonstrate the techniques discussed, and over 150 exercises help readers absorb and master the material.