Quantum Chromodynamics Sum Rules

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Quantum Chromodynamics Sum Rules
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Author : Cesareo A. Dominguez
language : en
Publisher: Springer
Release Date : 2018-07-31
Quantum Chromodynamics Sum Rules written by Cesareo A. Dominguez and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-31 with Science categories.
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
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Author : Walter Greiner
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Quantum Chromodynamics written by Walter Greiner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Science categories.
The theory of strong interactions, quantum chromodynamics (QCD), was for mulated 30 years ago and has since been a very active field of research. The underlying equations of motion for the gauge degrees of freedom are nonlin ear and minimally coupled to fermions with global and local SU(3) charges. This leads to spectacular problems compared with those of QED since the gauge bosons themselves interact with each other. On the other hand, it is exactly the self-interaction of the gluons which leads to asymptotic freedom and the pos sibility to calcuate quark-gluon interaction at small distances in the framework of perturbation theory. We discover one of the most complicated but most beau tiful gauge theories which poses extremely challenging problems on modem theoretical and experimental physics today. Quantum chromodynamics is the quantum field theory that allows us to cal culate the propagation and interaction of colored quarks and gluons at small distances. Today's experiments do not allow these colored objects to be detected directly; instead one deals with colorless hadrons: mesons and baryons seen far away from the actual interaction point. The hadronization itself is a complicated process and not yet understood from first principles. Therefore one may won der how the signature of quark and gluon interactions can be traced through the process of hadronization.
Quantum Chromodynamics
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Author : B. L. Ioffe
language : en
Publisher: Cambridge University Press
Release Date : 2010-01-21
Quantum Chromodynamics written by B. L. Ioffe and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-21 with Science categories.
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
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Author : Alexander Khodjamirian
language : en
Publisher: CRC Press
Release Date : 2021-12-13
Hadron Form Factors written by Alexander Khodjamirian and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-13 with categories.
This book introduces the theory of hadron form factors in a consistent manner, deriving step-by-step the key equations, defining the form factors, explaining their symmetry relations and applying mathematical tools to describe their behaviour. It is an ideal guide for graduate students studying particle physics and researchers.
Quantum Chromodynamics
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Author : Günther Dissertori
language : en
Publisher: Oxford University Press
Release Date : 2003-02-06
Quantum Chromodynamics written by Günther Dissertori and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-02-06 with Science categories.
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 lead 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.
Lectures On Quantum Chromodynamics
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Author : A. V. Smilga
language : en
Publisher: World Scientific
Release Date : 2001
Lectures On Quantum Chromodynamics written by A. V. Smilga and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.
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."
International Conference On Color Confinement And Hadrons In Quantum Chromodynamics
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Author : Hideo Suganuma
language : en
Publisher: World Scientific
Release Date : 2004
International Conference On Color Confinement And Hadrons In Quantum Chromodynamics written by Hideo Suganuma and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Science categories.
This book makes a global survey of nonperturbative aspects of quantum chromodynamics (QCD) from the viewpoints of mathematical, elementary-particle and hadron physics, including recent lattice-QCD results. It presents current, important progress in the following areas: the quark confinement mechanism, dynamical chiral-symmetry breaking, topologies in QCD (instantons, monopoles, vortices), SUSY QCD, nonperturbative methods (1/Nc, ladder QCD, AdS/CFT), QCD phase transition at finite temperature and density, quark-gluon plasma, and so on. For recent topics, the book also includes the experimental discovery of the penta-quark particle, the newest information on the QGP creation experiments, and theoretical progress on the baryonic three-quark potential and the high-density QCD.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings? (ISTP? / ISI Proceedings)? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences
Perturbative Quantum Chromodynamics
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Author : A. H. Mueller
language : en
Publisher: World Scientific
Release Date : 1989
Perturbative Quantum Chromodynamics written by A. H. Mueller and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Science categories.
This book will be of great interest to advanced students and researchers in the area of high energy theoretical physics. Being the most complete and updated review volume on Perturbative QCD, it serves as an extremely useful textbook or reference book. Some of the reviews in this volume are the best that have been written on the subject anywhere.
Quantum Chromodynamics And Color Confinement Confinement 2000 Proceedings Of The International Symposium
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Author : Hideo Suganuma
language : en
Publisher: World Scientific
Release Date : 2001-06-19
Quantum Chromodynamics And Color Confinement Confinement 2000 Proceedings Of The International Symposium written by Hideo Suganuma and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-19 with Science categories.
The quark confinement mechanism is one of the most difficult problems in particle physics, and is listed as the 7 difficult mathematical problems of the new millennium. The first person who first solves this problem will be awarded a prize of US$ 1 Million by Cray Mathematics Institute. This volume is useful for the systematic understanding of quark confinement and nonperturbative aspects of quantum chromodynamics (QCD) from the wide viewpoints of mathematical physics, lattice QCD physics and quark-hadron physics. It covers the current studies of nonperturbative QCD: quark confinement mechanism; topologies in QCD (instantons, monopoles and vortices); BRS quartet mechanism for color confinement; lattice QCD calculations for quarks, gluons and hadrons; dynamical chiral symmetry breaking and hadrons.
N Physics And Nonperturbative Quantum Chromodynamics
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Author : Silvano Simula
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
N Physics And Nonperturbative Quantum Chromodynamics written by Silvano Simula and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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.