Overview
- Introduces advanced methods for high-precision calculations in hadronic physics
- Brings together techniques and applications scattered throughout the literature and treats them in a unifying way
- Offers a mathematical tutorial for newcomers to the subject matter
Part of the book series: SpringerBriefs in Physics (SpringerBriefs in Physics)
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Table of contents (6 chapters)
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Front Matter
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Functional Analysis and Optimization Methods in Hadron Physics
Authors: Irinel Caprini
Series Title: SpringerBriefs in Physics
DOI: https://doi.org/10.1007/978-3-030-18948-8
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Author(s), under exclusive licence to Springer Nature Switzerland AG 2019
Softcover ISBN: 978-3-030-18947-1Published: 07 May 2019
eBook ISBN: 978-3-030-18948-8Published: 25 April 2019
Series ISSN: 2191-5423
Series E-ISSN: 2191-5431
Edition Number: 1
Number of Pages: VIII, 130
Number of Illustrations: 19 b/w illustrations, 11 illustrations in colour
Topics: Nuclear Physics, Heavy Ions, Hadrons, Mathematical Methods in Physics, Mathematical Applications in the Physical Sciences