Functional Analysis and Optimization Methods in Hadron Physics
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Beschreibung
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.
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.
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
Autor*in
Irinel Caprini
Themen in »Functional Analysis and Optimization Methods in Hadron Physics«
Dispersion Relations Analytic Continuation Hadron Physics Scattering Amplitudes Weak and Electromagnetic Form Factors Standard Model Quantum Chromodynamics Precision Hadron Physics