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Functional Analysis and Optimization Methods in Hadron Physics

  • Irinel┬áCaprini

Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Irinel Caprini
    Pages 29-40
  3. Irinel Caprini
    Pages 41-56
  4. Irinel Caprini
    Pages 97-120

About this book

Introduction

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 valuable guide for researchers working in precision hadronic physics, as well as graduate students who are new to the field.

Keywords

Dispersion Relations Analytic Continuation Hadron Physics Scattering Amplitudes Weak and Electromagnetic Form Factors Standard Model Quantum Chromodynamics Precision Hadron Physics

Authors and affiliations

  • Irinel┬áCaprini
    • 1
  1. 1.Department of Theoretical PhysicsNational Institute of Physics and Nuclear EngineeringBucharest-MagureleRomania

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-18948-8
  • Copyright Information The Author(s), under exclusive licence to Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-030-18947-1
  • Online ISBN 978-3-030-18948-8
  • Series Print ISSN 2191-5423
  • Series Online ISSN 2191-5431
  • Buy this book on publisher's site