A Brief Introduction to Dispersion Relations

A Brief Introduction to Dispersion Relations
Author :
Publisher : Springer
Total Pages : 142
Release :
ISBN-10 : 9783030135829
ISBN-13 : 3030135829
Rating : 4/5 (829 Downloads)

Book Synopsis A Brief Introduction to Dispersion Relations by : José Antonio Oller

Download or read book A Brief Introduction to Dispersion Relations written by José Antonio Oller and published by Springer. This book was released on 2019-03-22 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers a brief introduction to the dispersion relations as an approach to calculate S-matrix elements, a formalism that allows one to take advantage of the analytical structure of scattering amplitudes following the basic principles of unitarity and causality. First, the case of two-body scattering is considered and then its contribution to other processes through final-state interactions is discussed. For two-body scattering amplitudes, the general expression for a partial-wave amplitude is derived in the approximation where the crossed channel dynamics is neglected. This is taken as the starting point for many interesting nonperturbative applications, both in the light and heavy quark sector. Subsequently crossed channel dynamics is introduced within the equations for calculating the partial-wave amplitudes. Some applications based on methods that treat crossed-channel dynamics perturbatively are discussed too. The last part of this introductory treatment is dedicated to the further impact of scattering amplitudes on a variety of processes through final-state interactions. Several possible approaches are discussed such as the Muskhelishvili-Omnes dispersive integral equations and other closed formulae. These different formalisms are then applied in particular to the study of resonances presenting a number of challenging properties. The book ends with a chapter illustrating the use of dispersion relations in the nuclear medium for the evaluation of the energy density in nuclear matter.


A Brief Introduction to Dispersion Relations Related Books

A Brief Introduction to Dispersion Relations
Language: en
Pages: 142
Authors: José Antonio Oller
Categories: Science
Type: BOOK - Published: 2019-03-22 - Publisher: Springer

DOWNLOAD EBOOK

This text offers a brief introduction to the dispersion relations as an approach to calculate S-matrix elements, a formalism that allows one to take advantage o
Causality and Dispersion Relations
Language: en
Pages: 449
Authors: Nussenzveig
Categories: Mathematics
Type: BOOK - Published: 1972-12-15 - Publisher: Academic Press

DOWNLOAD EBOOK

Causality and Dispersion Relations
Causality Rules
Language: en
Pages: 84
Authors: Vladimir Pascalutsa
Categories: Science
Type: BOOK - Published: 2018-07-06 - Publisher: Morgan & Claypool Publishers

DOWNLOAD EBOOK

Scattering of light by light is a fundamental process arising at the quantum level through vacuum fluctuations. This short book will explain how, remarkably eno
Introduction to Nonlinear Dispersive Equations
Language: en
Pages: 308
Authors: Felipe Linares
Categories: Mathematics
Type: BOOK - Published: 2014-12-15 - Publisher: Springer

DOWNLOAD EBOOK

This textbook introduces the well-posedness theory for initial-value problems of nonlinear, dispersive partial differential equations, with special focus on two
All Things Flow
Language: en
Pages: 186
Authors: William Smyth
Categories:
Type: BOOK - Published: 2019-09-10 - Publisher:

DOWNLOAD EBOOK

This is a graduate-level textbook for students in the natural sciences. After reviewing the necessary math, it describes the logical path from Newton's laws of