Quantum Chromodynamics Sum Rules

Quantum Chromodynamics Sum Rules PDF Author: Cesareo A. Dominguez
Publisher: Springer
ISBN: 3319977229
Category : Science
Languages : en
Pages : 113

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Book Description
This concise book provides the necessary background to allow interested readers to launch original research projects on the subject matter. Currently, this material is not available from one single source, and is either spread out over numerous journal publications, or covered in long and technical monographs. At the core of this book lies the sum rule approach to obtain analytic results in Quantum Chromodynamics (QCD), the current theory of strong interactions among quarks and gluons. This method fully complements Lattice QCD, the corresponding computational approach based on discretizing QCD on a space-time lattice. Applications include standard determinations of hadronic particle properties with extensions to finite temperature and density, and possibly involving the presence of extreme magnetic fields. The latter cases include stellar objects (e.g. neutron stars and magnetars) as well as high-energy proton–proton and heavy-ion collisions. Further topics concern the determination of the fundamental parameters of QCD, e.g. quark masses and the quark–gluon couplings, the hadronic contribution to the anomalous magnetic moment of the muon, and electromagnetic coupling at the the W-boson mass scale.

Quantum Chromodynamics Sum Rules

Quantum Chromodynamics Sum Rules PDF Author: Cesareo A. Dominguez
Publisher: Springer
ISBN: 3319977229
Category : Science
Languages : en
Pages : 113

Get Book Here

Book Description
This concise book provides the necessary background to allow interested readers to launch original research projects on the subject matter. Currently, this material is not available from one single source, and is either spread out over numerous journal publications, or covered in long and technical monographs. At the core of this book lies the sum rule approach to obtain analytic results in Quantum Chromodynamics (QCD), the current theory of strong interactions among quarks and gluons. This method fully complements Lattice QCD, the corresponding computational approach based on discretizing QCD on a space-time lattice. Applications include standard determinations of hadronic particle properties with extensions to finite temperature and density, and possibly involving the presence of extreme magnetic fields. The latter cases include stellar objects (e.g. neutron stars and magnetars) as well as high-energy proton–proton and heavy-ion collisions. Further topics concern the determination of the fundamental parameters of QCD, e.g. quark masses and the quark–gluon couplings, the hadronic contribution to the anomalous magnetic moment of the muon, and electromagnetic coupling at the the W-boson mass scale.

Quantum Chromodynamics

Quantum Chromodynamics PDF Author: Walter Greiner
Publisher: Springer Science & Business Media
ISBN: 3662047071
Category : Science
Languages : en
Pages : 558

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Book Description
This is a selfcontained introduction to perturbative and nonperturbative quantum chromodynamics. Relativistic quantum field theory is recapitulated and scattering theory is discussed in the framework of scalar quantum electrodynamics. Then the gauge theory of quarks and gluons is introduced, before moving on to an advanced discussion of perturbative and nonperturbative techniques in state-of-the-art QCD.

Quantum Chromodynamics

Quantum Chromodynamics PDF Author: B. L. Ioffe
Publisher: Cambridge University Press
ISBN: 0521631483
Category : Science
Languages : en
Pages : 597

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Book Description
Aimed at graduate students and researchers in theoretical physics, this book presents the modern theory of strong interaction: quantum chromodynamics (QCD). The book exposes various perturbative and nonperturbative approaches to the theory, including chiral effective theory, the problems of anomalies, vacuum tunnel transitions, and the problem of divergence of the perturbative series. The QCD sum rules approach is exposed in detail. A great variety of hadronic properties (masses of mesons and baryons, magnetic moments, form factors, quark distributions in hadrons, etc.) have been found using this method. The evolution of hadronic structure functions is presented in detail, together with polarization phenomena. The problem of jets in QCD is treated through theoretical description and experimental observation. The connection with Regge theory is emphasized. The book covers many aspects of theory which are not discussed in other books, such as CET, QCD sum rules, and BFKL. • Provides a deep understanding of various aspects of the modern theory of strong interaction • Presents the general properties of QCD, before exploring perturbative and nonperturbative approaches • Discusses aspects of the theory such as CET, QCD sum rules, and BFKL, which are not covered in other books

Hadron Form Factors

Hadron Form Factors PDF Author: Alexander Khodjamirian
Publisher: CRC Press
ISBN: 1351392972
Category : Science
Languages : en
Pages : 373

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Book Description
This book introduces the phenomenology and theory of hadron form factors in a consistent manner, deriving step-by-step the key equations, defining the form factors from the matrix elements of hadronic transitions and deriving their symmetry relations. Explained are several general concepts of particle theory and phenomenology exemplified by hadron form factors. The main emphasis here is on learning the analytical methods in particle phenomenology. Many examples of hadronic processes involving form factors are considered, from the pion electromagnetic scattering to heavy B-meson decays. In the second part of the book, modern techniques of the form factor calculation, based on the method of sum rules in the theory of strong interactions, quantum chromodynamics, are introduced in an accessible manner. This book will be a useful guide for graduate students and early-career researchers working in the field of particle phenomenology and experiments. Features: • The first book to address the phenomenology of hadron form factors at a pedagogical level in one coherent volume • Contains up-to-date descriptions of the most important form factors of the electroweak transitions investigated in particle physics experiments

Lattice Gauge Theories: An Introduction

Lattice Gauge Theories: An Introduction PDF Author: Heinz J Rothe
Publisher: World Scientific
ISBN: 9814602302
Category :
Languages : en
Pages : 397

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Book Description
This book introduces a large number of topics in lattice gauge theories, including analytical as well as numerical methods. It provides young physicists with the theoretical background and basic computational tools in order to be able to follow the extensive literature on the subject, and to carry out research on their own. Whenever possible, the basic ideas and technical inputs are demonstrated in simple examples, so as to avoid diverting the readers' attention from the main line of thought. Sufficient technical details are however given so that he can fill in the remaining details with the help of the cited literature without too much effort.This volume is designed for graduate students in theoretical elementary particle physics or statistical mechanics with a basic knowledge in Quantum Field Theory.

Lectures on Quantum Chromodynamics

Lectures on Quantum Chromodynamics PDF Author: A. V. Smilga
Publisher: World Scientific
ISBN: 9789812810595
Category : Science
Languages : en
Pages : 360

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Book Description
Quantum chromodynamics is the fundamental theory of strong interactions. It is a physical theory describing Nature. Lectures on Quantum Chromodynamics concentrates, however, not on the phenomenological aspect of QCD; books with comprehensive coverage of phenomenological issues have been written. What the reader will find in this book is a profound discussion on the theoretical foundations of QCD with emphasis on the nonperturbative formulation of the theory: What is gauge symmetry on the classical and on the quantum level? What is the path integral in field theory? How to define the path integral on the lattice, keeping intact as many symmetries of the continuum theory as possible? What is the QCD vacuum state? What is the effective low energy dynamics of QCD? How do the ITEP sum rules work? What happens if we heat and/or squeeze hadronic matter? Perturbative issues are also discussed: How to calculate Feynman graphs? What is the BRST symmetry? What is the meaning of the renormalization procedure? How to resum infrared and collinear singularities? And so on. The book is an outgrowth of the course of lectures given by the author for graduate students at ITEP in Moscow. Much extra material has been added. Sample Chapter(s). Introduction: Some History (331 KB). Lecture 1.1: Path Ordered Exponentials. Invariant Actions (624 KB). Lecture 1.2: Classical Solutions (266 KB). Lecture 2.1: Topological Charge (329 KB). Lecture 2.2: Explicit Solutions (338 KB). Lecture 3.1: Conventional Approach (330 KB). Lecture 3.2: Euclidean Path Integral (150 KB). Lecture 3.3: Holomorphic Representation (177 KB). Lecture 3.4: Grassmann Dynamic Variables (340 KB). Lecture 4.1: Dirac Quantization Procedure 782 KB). Lecture 4.2: Path Integral on the Lattice (330 KB). Lecture 5.1: Quantum Pendulum (534 KB). Lecture 5.2: Large Gauge Transformations in Non-Abelian Theory (395 KB). Contents: Foundations: YangOCoMills Field; Instantons; Path Integral in Quantum Mechanics; Quantization of Gauge Theories; Perturbation Theory: Diagram Technique in Simple and Complicated Theories; When the Gauge is Fixed OC Regularization and Renormalization; Running Coupling Constant; Weathering Infrared Storms; Collinear Singularities: Theory and Phenomenology; Nonperturbative QCD: Symmetries: Anomalous and Not; Quarks on Euclidean Lattice; Aspects of Chiral Symmetry; Mesoscopic QCD; Fairy QCD; ITEP Sum Rules: The Duality Festival; Hot and Dense QCD; Confinement. Readership: High energy physicists and advanced level graduate students in high energy physics."

Quantum Chromodynamics

Quantum Chromodynamics PDF Author: Günther Dissertori
Publisher: Oxford University Press
ISBN: 019100460X
Category : Science
Languages : en
Pages : 560

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Book Description
This book provides an introduction to Quantum Chromodynamics (QCD), the theory of strong interactions. It covers in full detail both the theoretical foundations and the experimental tests of the theory. Although the experimental chapters focus on recent measurements, the subject is placed into historical perspective by also summarizing the steps which led to the formulation of QCD. Measurements are discussed as they were performed by the LEP experiments at CERN, or at hadron-hadron and lepton-hadron colliders such as the TEVATRON at Fermilab and HERA at DESY. Emphasis is placed on high energy tests of QCD, such as measurements of the strong coupling constant, investigations of the non-abelian structure of the underlying gauge group, determinations of nucleon structure functions, and studies of the non-perturbative hadronization process. This excellent text gives a detailed overview of how QCD developed in the 20th century and where we stand with respect to a quantitative understanding after the turn of the millenium. The text is intended for graduate and postgraduate students as well as researchers, and includes numerous problems and solutions.

QCD and Collider Physics

QCD and Collider Physics PDF Author: R. K. Ellis
Publisher: Cambridge University Press
ISBN: 9780521545891
Category : Science
Languages : en
Pages : 462

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Book Description
A detailed overview of the physics of high-energy colliders emphasising the role of QCD.

QCD as a Theory of Hadrons

QCD as a Theory of Hadrons PDF Author: S. Narison
Publisher: Cambridge University Press
ISBN: 9780521811644
Category : Science
Languages : en
Pages : 820

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Book Description
An introduction to the basic theory and recent advances in QCD, for graduates and researchers.

N* Physics and Nonperturbative Quantum Chromodynamics

N* Physics and Nonperturbative Quantum Chromodynamics PDF Author: Silvano Simula
Publisher: Springer Science & Business Media
ISBN: 3709168007
Category : Science
Languages : en
Pages : 387

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Book Description
The Workshop N* Physics and non-perturbative QeD was held at the Eu ropean Center for Theoretical Studies and Related Areas (ECT*) in Trento, Italy, during May 18-29, 1998. Previous workshops of the series on N* Physics took place at the Florida State University (1994), at CEBAF (1995), at the Institute for Nuclear Theory in Seattle (1996) and at the George Washington University (1997). The Workshop was devoted to a summary of recent experimental and the oretical research on N* phsyics and special emphasis was given to the infor mation that photo-and electro-production of nucleon resonances can provide on the non-perturbative regime of Quantum Chromodynamics. The idea was to stimulate discussions among experimentalists and theoreticians in order to pursue the interpretation of the huge amount of forthcoming data from several laboratories in the world. It was therefore decided to have both experimental and theoretical lectures on the main topics, like ,among the others, single and double pion production, TJ-and K-meson production, the GDH sum rule, the spin of the proton, etc. Thanks to the unusual two-week extension of the Work shop, the allotted time for the lectures was extended up to one hour in order to allow the invited lecturers to give a detailed presentation of their topics. Fi nally, various short contributions were selected to sharpen the discussion about selected items.