Download or read book Numerical Challenges in Lattice Quantum Chromodynamics written by Andreas Frommer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lattice gauge theory is a fairly young research area in Theoretical Particle Physics. It is of great promise as it offers the framework for an ab-initio treatment of the nonperturbative features of strong interactions. Ever since its adolescence the simulation of quantum chromodynamics has attracted the interest of numerical analysts and there is growing interdisciplinary engage ment between theoretical physicists and applied mathematicians to meet the grand challenges of this approach. This volume contains contributions of the interdisciplinary workshop "Nu merical Challenges in Lattice Quantum Chromo dynamics" that the Institute of Applied Computer Science (IAI) at Wuppertal University together with the Von-Neumann-Institute-for-Computing (NIC) organized in August 1999. The purpose of the workshop was to offer a platform for the exchange of key ideas between lattice QCD and numerical analysis communities. In this spirit leading experts from both fields have put emphasis to transcend the barriers between the disciplines. The meetings was focused on the following numerical bottleneck problems: A standard topic from the infancy of lattice QCD is the computation of Green's functions, the inverse of the Dirac operator. One has to solve huge sparse linear systems in the limit of small quark masses, corresponding to high condition numbers of the Dirac matrix. Closely related is the determination of flavor-singlet observables which came into focus during the last years.
Download or read book Lectures on Quantum Chromodynamics written by A. V. Smilga and published by World Scientific. This book was released on 2001 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Quantum Chromodynamics written by Walter Greiner and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Chromodynamics is a thorough introduction for students in theoretical physics and scientists needing a reference and exercise book in this field. The book presents the necessary mathematical tools together with many examples and worked problems. In introductory chapters the reader becomes familiar with the hadron spectrum, while the SU(N) symmetry groups and the relativistic field theory are briefly recapitulated; then a discussion of scalar quantum electrodynamics and scattering reactions follow before gauge quark-quark interactions, perturbational QCD, renormalization groups, and tests of pertubational QCD are all treated in detail. Chapters on non-perturbational QCD and quasi-phenomenological applications conclude the text.
Download or read book Challenges to Quantum Chromodynamics written by and published by . This book was released on 1989 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general structure of QCD meshes remarkably well with the facts of the hadronic world, especially quark-based spectroscopy, current algebra, the approximate point-like structure of large momentum transfer inclusive reactions, and the logarithmic violation of scale invariance in deep inelastic lepton-hadron reactions. QCD has been successful in predicting the features of electron-positron and photon-photon annihilation into hadrons, including the magnitude and scaling of the cross sections, the shape of the photon structure function, the production of hadronic jets with patterns conforming to elementary quark and gluon subprocesses. The experimental measurements appear to be consistent with basic postulates of QCD, that the charge and weak currents within hadrons are carried by fractionally-charged quarks, and that the strength of the interactions between the quarks, and gluons becomes weak at short distances, consistent with asymptotic freedom. Nevertheless in some cases, the predictions of QCD appear to be in dramatic conflict with experiment. The anomalies suggest that the proton itself as a much more complex object than suggested by simple non-relativistic quark models. Recent analyses of the proton distribution amplitude using QCD sum rules points to highly-nontrival proton structure. Solutions to QCD in one-space and one-time dimension suggest that the momentum distributions of non-valence quarks in the hadrons have a non-trival oscillatory structure. The data seems also to be suggesting that the intrinsic'' bound state structure of the proton has a non- negligible strange and charm quark content, in addition to the extrinsic'' sources of heavy quarks created in the collision itself. 144 refs., 46 figs., 2 tabs.
Download or read book Quantum Chromodynamics written by B. L. Ioffe and published by Cambridge University Press. This book was released on 2010-01-21 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Lattice Methods for Quantum Chromodynamics written by Thomas DeGrand and published by World Scientific. This book was released on 2006 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: At a time of robust worldwide debates on globalization, this compact volume shows: how successful each of the East Asian economies have been in harnessing globalization by appropriate and alternative means to catch up with the advanced economies; and what implications can be drawn to assess Chinese economic growth in context. The essays in this book include supporting notes to review effectively the highlights of the development of East Asia, over the six decades after World War II: why the region has performed so well economically relative to the rest of the developing world; which are the most challenging limitations to be addressed; and several sensational controversies in the development economics literature to be sensibly resolved.
Download or read book Workshop on Non Perturbative Quantum Chromodynamics written by Kimball Milton and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book From Current Algebra to Quantum Chromodynamics written by Tian Yu Cao and published by Cambridge University Press. This book was released on 2012-10-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advent of quantum chromodynamics (QCD) in the early 1970s was one of the most important events in twentieth-century science. This book examines the conceptual steps that were crucial to the rise of QCD, placing them in historical context against the background of debates that were ongoing between the bootstrap approach and composite modeling, and between mathematical and realistic conceptions of quarks. It explains the origins of QCD in current algebra and its development through high-energy experiments, model-building, mathematical analysis and conceptual synthesis. Addressing a range of complex physical, philosophical and historiographical issues in detail, this book will interest graduate students and researchers in physics and in the history and philosophy of science.
Download or read book The Mass Gap And Its Applications written by Vakhtang Gogokhia and published by World Scientific. This book was released on 2013-03-06 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Chromodynamics (QCD) is the most up-to-date theory of the strong interaction. Its predictions have been verified experimentally, and it is a cornerstone of the Standard Model of particle physics. However, standard perturbative procedures fail if applied to low-energy QCD. Even the discovery of the Higgs Boson will not solve the problem of masses originating from the non-perturbative behavior of QCD.This book presents a new method, the introduction of the ‘mass gap’, first suggested by Arthur Jaffe and Edward Witten at the turn of the millennium. It attempts to show that, to explain the mass-spectrum of QCD, one needs the mass scale parameter (the mass gap) instead of other massive particles. The energy difference between the lowest order and the vacuum state in Yang-Mills quantum field theory, the mass gap is in principle responsible for the large-scale structure of the QCD ground state, and thus also for its non-perturbative phenomena at low energies. This book not only presents the mass gap, but also details the applications and outlook of the mass gap method. A detailed summary of references and problems are included as well.This book is best for scientists and highly advanced students interested in non-perturbative effects and methods in QCD.
Download or read book Quantum Flavordynamics Quantum Chromodynamics and Unified Theories written by K.T. Mahanthappa and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Advanced Study Institute on Quantum Flavordynamics, Quantum Chromodynamics and Unified Theories was held on the campus th of the University of Colorado at Boulder from July 9 through July 27th of 1979. There has been a rapid progress in the understanding of weak, electromagnetic and strong interactions and their unification during the past few years. The purpose of the Institute was to have a group of lecturers active in these areas of research give a series of lectures on various aspects of these topics beginning at the elementary level and ending with the up-to-date developments. There were three lecturers, Professors S. Ellis, R. Field and C. H. Llewellyn Smith who covered the different but related aspects of Quantum Chromodynamics. Their lectures were well coordinated, but some overlap was inevitable. Dr. Buras gave two lectures on QCD corrections beyond the leading order. Professor D. Gross covered the nonperturbative aspects and a possible mechanism of quark confinement. At a more phenomenological level, Professor C. De Tar covered the bag models. The subject matter of electro weak interactions was covered by Professor G. Altarelli. Professor J. Wess gave six lectures on supersymmetry and supergravity. All these lectures with the exception of those of Professor D. Gross are incorporated in this volume. The contents of Professor Gross' lectures are available elsewhere and therefore only references and problems are included here. In addition to the above lectures, there were workshop-like discussion sessions.
Download or read book QCD WORK written by Pietro Colangelo and published by American Institute of Physics. This book was released on 2001-12-14 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent experimental results and new theoretical developments discussed during the conference are described in these proceedings. The various contributions concern low energy QCD, the most recent advances and challenges in perturbative QCD, the highlights in heavy flavor physics and in QCD at high temperature density. First results from the Bookhaven RHIC machine as well as the latest date from CERN that are providing us with deeper insights into the problem of the quark-gluon plasma and the fascinating issue of the QCD phase diagram are also presented.
Download or read book Creation Of Quantum Chromodynamics And The Effective Energy The In Honour Of A Zichichi On The Occasion Of The Galvani Bicentenary Celebrations written by L N Lipatov and published by World Scientific. This book was released on 2001-01-03 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: UNDER THE SPELL OF THE GAUGE PRINCIPLE — by G 't HooftThe University of Bologna and its Academy of Sciences, in collaboration with the Italian National Institute for Nuclear Physics and the Italian Physical Society, celebrated in 1998 the bicentenary of a great pioneer in the field of electric phenomena — Luigi Galvani, the father of macroelectricity. During these two centuries, the physics of electric phenomena has given rise first to the Maxwell equations, then to quantum electrodynamics, and finally to the synthesis of all reproducible phenomena, the “Standard Model”. A cornerstone of the Standard Model is quantum chromodynamics (QCD), which describes the interaction between quarks and gluons in the innermost part of the structure of matter.The discovery of QCD will be recalled in the future as one of the greatest achievements of mankind. Many physicists, the world over, have contributed to its creation on both the experimental and the theoretical front. Professor Antonino Zichichi has played an important role in this scientific venture, as documented by his works which are reproduced in this invaluable volume.One of the founders of European physics, Professor Victor F Weisskopf, contributes with his memories of the time when QCD had many problems. This volume owes its existence to a founding father of QCD, Professor Vladimir N Gribov, whose sudden demise prevented him from directly contributing to its final edition. Two world leaders in subnuclear theoretical physics, Professors Gerardus 't Hooft and Gabriele Veneziano, illustrate the significance of the contributions of Antonino Zichichi in QCD.
Download or read book Quantum Chromodynamics written by B. Ioffe and published by . This book was released on 2010 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Quantum Chromodynamics written by Walter Greiner and published by Springer Science & Business Media. This book was released on 2002 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a self-contained 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.
Download or read book Quantum Chromodynamics And Color Confinement Confinement 2000 Proceedings Of The International Symposium written by Hideo Suganuma and published by World Scientific. This book was released on 2001-06-19 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Quantum Chromodynamics written by Günther Dissertori and published by Oxford University Press. This book was released on 2003-02-06 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Problems in Quantum Field Theory written by François Gelis and published by Cambridge University Press. This book was released on 2021-08-26 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of problems in QFT, with complete solutions, for graduate students taking their first or second course.
