Functional Analysis and Optimization Methods in Hadron Physics

Author:   Irinel Caprini
Publisher:   Springer Nature Switzerland AG
Edition:   1st ed. 2019
ISBN:  

9783030189471


Pages:   130
Publication Date:   07 May 2019
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Functional Analysis and Optimization Methods in Hadron Physics


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Overview

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.

Full Product Details

Author:   Irinel Caprini
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2019
Weight:   0.454kg
ISBN:  

9783030189471


ISBN 10:   3030189473
Pages:   130
Publication Date:   07 May 2019
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1 ​Theory of strong interactions before the Standard Model.- 2 Modern approach to analyticity.- 3 Complex and functional-analysis tools.- 4 Optimization problems with physical conditions.- 5 Other applications of analyticity.

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