Functional Analysis and Optimization Methods in Hadron Physics

Irinel Caprini

ISBN 10: 3030189473 / ISBN 13: 9783030189471

Published by Springer International Publishing, Springer International Publishing Mai 2019, 2019

About this Item

Neuware -This book begins with a brief historical review of the early applications of standard dispersion relations in particle physics. It then presents the modern perspective within the Standard Model, emphasizing the relation of analyticity together with alternative tools applied to strong interactions, such as perturbative and lattice quantum chromodynamics (QCD), as well as chiral perturbation theory.The core of the book argues that, in order to improve the prediction of specific hadronic observables, it is often necessary to resort to methods of complex analysis more sophisticated than the simple Cauchy integral. Accordingly, a separate mathematical chapter is devoted to solving several functional analysis optimization problems. Their applications to physical amplitudes and form factors are discussed in the following chapters, which also demonstrate how to merge the analytic approach with statistical analysis tools.Given its scope, the book offers a valuableguide for researchers working in precision hadronic physics, as well as graduate students who are new to the field.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 140 pp. Englisch.

Seller Inventory # 9783030189471

Bibliographic Details

• Title: Functional Analysis and Optimization Methods in Hadron Physics
• Publisher: Springer International Publishing, Springer International Publishing Mai 2019
• Publication Date: 2019
• Language: English
• ISBN 10: 3030189473
• ISBN 13: 9783030189471
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 8D millimeters 235 millimeters width by 155 millimeters height by 8 millimeters depth
• Weight: 224 grams

About this title

Synopsis

This book begins with a brief historical review of the early applications of standard dispersion relations in particle physics. It then presents the modern perspective within the Standard Model, emphasizing the relation of analyticity together with alternative tools applied to strong interactions, such as perturbative and lattice quantum chromodynamics (QCD), as well as chiral perturbation theory.

The core of the book argues that, in order to improve the prediction of specific hadronic observables, it is often necessary to resort to methods of complex analysis more sophisticated than the simple Cauchy integral. Accordingly, a separate mathematical chapter is devoted to solving several functional analysis optimization problems. Their applications to physical amplitudes and form factors are discussed in the following chapters, which also demonstrate how to merge the analytic approach with statistical analysis tools.

Given its scope, the book offers a valuableguide for researchers working in precision hadronic physics, as well as graduate students who are new to the field.