03453nam 22005775 450 991074114630332120200703074050.03-030-18948-110.1007/978-3-030-18948-8(CKB)4100000008048055(MiAaPQ)EBC5771090(DE-He213)978-3-030-18948-8(PPN)235669407(EXLCZ)99410000000804805520190425d2019 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierFunctional Analysis and Optimization Methods in Hadron Physics /by Irinel Caprini1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (139 pages)SpringerBriefs in Physics,2191-54233-030-18947-3 Includes bibliographical references.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.SpringerBriefs in Physics,2191-5423Nuclear physicsHeavy ionsPhysicsMathematical physicsNuclear Physics, Heavy Ions, Hadronshttps://scigraph.springernature.com/ontologies/product-market-codes/P23010Mathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Mathematical Applications in the Physical Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13120Nuclear physics.Heavy ions.Physics.Mathematical physics.Nuclear Physics, Heavy Ions, Hadrons.Mathematical Methods in Physics.Mathematical Applications in the Physical Sciences.539.7548539.7216Caprini Irinelauthttp://id.loc.gov/vocabulary/relators/aut837221BOOK9910741146303321Functional Analysis and Optimization Methods in Hadron Physics1870608UNINA