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Functional analysis and optimization methods in hadron physics

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Functional analysis and optimization methods in hadron physics/ by Irinel Caprini.
Author:	Caprini, Irinel.
Published:	Cham :Springer International Publishing : : 2019.,
Description:	viii, 130 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Hadrons. -
Online resource:	https://doi.org/10.1007/978-3-030-18948-8
ISBN:	9783030189488

Functional analysis and optimization methods in hadron physics
Caprini, Irinel.

Functional analysis and optimization methods in hadron physics[electronic resource] /by Irinel Caprini. - Cham :Springer International Publishing :2019. - viii, 130 p. :ill., digital ;24 cm. - SpringerBriefs in physics,2191-5423. - SpringerBriefs in physics..

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.

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.

ISBN: 9783030189488

Standard No.: 10.1007/978-3-030-18948-8doiSubjects--Topical Terms:

676334
Hadrons.

LC Class. No.: QC793.5.H32

Dewey Class. No.: 539.7216

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505 0 $a 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.
520 $a 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.
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