Download or read book Light cone Quantization of Quantum Chromodynamics written by and published by . This book was released on 1991 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt: We discuss the light-cone quantization of gauge theories from two perspectives: as a calculational tool for representing hadrons as QCD bound-states of relativistic quarks and gluons, and also as a novel method for simulating quantum field theory on a computer. The light-cone Fock state expansion of wavefunctions at fixed light cone time provides a precise definition of the parton model and a general calculus for hadronic matrix elements. We present several new applications of light-cone Fock methods, including calculations of exclusive weak decays of heavy hadrons, and intrinsic heavy-quark contributions to structure functions. A general nonperturbative method for numerically solving quantum field theories, discretized light-cone quantization, '' is outlined and applied to several gauge theories, including QCD in one space and one time dimension, and quantum electrodynamics in physical space-time at large coupling strength. The DLCQ method is invariant under the large class of light-cone Lorentz transformations, and it can be formulated such at ultraviolet regularization is independent of the momentum space discretization. Both the bound-state spectrum and the corresponding relativistic light-cone wavefunctions can be obtained by matrix diagonalization and related techniques. We also discuss the construction of the light-cone Fock basis, the structure of the light-cone vacuum, and outline the renormalization techniques required for solving gauge theories within the light-cone Hamiltonian formalism.

Download or read book The Application of Light cone Quantization to Quantum Chromodynamics in One plus one Dimensions written by Kent John Hornbostel and published by . This book was released on 1988 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Light cone Quantization and QCD Phenomenology written by and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book New Directions in Quantum Chromodynamics written by and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors review the light-cone Fock state representation and its associated light-cone factorization scheme as a method for encoding the flavor, momentum, and helicity properties of hadrons in the form of universal process-independent and frame-independent amplitudes. Discrete light-cone quantization (DLCQ) provides a matrix representation of the QCD Hamiltonian and a nonperturbative method for computing the quark and gluon bound state wavefunctions. A number of applications of the light-cone formalism are discussed, including an exact light-cone Fock state representation of semi-leptonic B decay amplitudes. Hard exclusive and diffractive reactions are shown to be sensitive to hadron distribution amplitudes, the valence Fock state hadronic wavefuctions at small impact separation. Semi-exclusive reactions are shown to provide new flavor-dependent probes of distribution amplitudes and new types of deep inelastic currents.''Self-resolving'' diffractive processes and Coulomb dissociation are discussed as a direct measure of the light-cone wavefunctions of hadrons. Alternatively, one can use Coulomb dissociation to resolve nuclei in terms of their nucleonic and mesonic degrees of freedom. They also discuss several theoretical tools which eliminate theoretical ambiguities in perturbative QCD predictions. For example, commensurate scale relations are perturbative QCD predictions based on conformal symmetry which relate observable to observable at fixed relative scale; such relations have no renormalization scale or scheme ambiguity. They also discuss the utility of the[alpha]V coupling, defined from the QCD heavy quark potential, as a useful physical expansion parameter for perturbative QCD and grand unification. New results on the analytic fermion masses dependence of the[alpha]V coupling at two-loop order are presented.

Download or read book The Application of Light cone Quantization to Quantum Chromodynamics in One plus one Dimensions written by and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal and computational aspects of light cone quantization are studied by application to quantum chromodynamics (QCD) in one spatial plus one temporal dimension. This quantization scheme, which has been extensively applied to perturbative calculations, is shown to provide an intuitively appealing and numerically tractable approach to non-perturbative computations as well. In the initial section, a light-cone quantization procedure is developed which incorporates fields on the boundaries. This allows for the consistent treatment of massless fermions and the construction of explicitly conserved momentum and charge operators. The next section, which comprises the majority of this work, focuses on the numerical solution of the light-cone Schrodinger equation for bound states. The state space is constructed and the Hamiltonian is evaluated and diagonalized by computer for arbitrary number of colors, baryon number and coupling constant strength. As a result, the full spectrum of mesons and baryons and their associated wavefunctions are determined. These results are compared with those which exist from other approaches to test the reliability of the method. The program also provides a preliminary test for the feasibility of, and an opportunity to develop approximation schemes for, an attack on three-plus-one dimensional QCD. Finally, analytic results are presented which include a discussion of integral equations for wavefunctions and their endpoint behavior. Solutions for hadronic masses and wavefunctions in the limits of both large and small quark mass are discussed. 49 refs., 32 figs., 10 tabs.

Download or read book Light cone Quantization and Hadron Structure written by and published by . This book was released on 1996 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum chromodynamics provides a fundamental description of hadronic and nuclear structure and dynamics in terms of elementary quark and gluon degrees of freedom. In practice, the direct application of QCD to reactions involving the structure of hadrons is extremely complex because of the interplay of nonperturbative effects such as color confinement and multi-quark coherence. In this talk, the author will discuss light-cone quantization and the light-cone Fock expansion as a tractable and consistent representation of relativistic many-body systems and bound states in quantum field theory. The Fock state representation in QCD includes all quantum fluctuations of the hadron wavefunction, including fax off-shell configurations such as intrinsic strangeness and charm and, in the case of nuclei, hidden color. The Fock state components of the hadron with small transverse size, which dominate hard exclusive reactions, have small color dipole moments and thus diminished hadronic interactions. Thus QCD predicts minimal absorptive corrections, i.e., color transparency for quasi-elastic exclusive reactions in nuclear targets at large momentum transfer. In other applications, such as the calculation of the axial, magnetic, and quadrupole moments of light nuclei, the QCD relativistic Fock state description provides new insights which go well beyond the usual assumptions of traditional hadronic and nuclear physics.

Download or read book QCD Technology Light Cone Quantization and Commensurate Scale Relations written by and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: I discuss several theoretical tools which are useful for analyzing perturbative and non-perturbative problems in quantum chromodynamics, including (a) the light-cone Fock expansion, (b) the effective charge[alpha][sub v], (c) conformal symmetry, and (d) commensurate scale relations. Light-cone Fock-state wavefunctions encode the properties of a hadron in terms of its fundamental quark and gluon degrees of freedom. Given the proton's light-cone wavefunctions, one can compute not only the quark and gluon distributions measured in deep inelastic lepton-proton scattering, but also the multi-parton correlations which control the distribution of particles in the proton fragmentation region and dynamical higher twist effects. Light-cone wavefunctions also provide a systematic framework for evaluating exclusive hadronic matrix elements, including timelike heavy hadron decay amplitudes and form factors. The[alpha][sub v] coupling, defined from the QCD heavy quark potential, provides a physical expansion parameter for perturbative QCD with an analytic dependence on the fermion masses which is now known to two-loop order. Conformal symmetry provides a template for QCD predictions, including relations between observables which are present even in a theory which is not scale invariant. Commensurate scale relations are perturbative QCD predictions based on conformal symmetry relating observable to observable at fixed relative scale. Such relations have no renormalization scale or scheme ambiguity.

Download or read book QCD on the Light Cone written by and published by . This book was released on 1992 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quantization of gauge theory at fixed light-cone time [tau] = t - z/c provides new perspectives for solving non-perturbative problems in quantum chromodynamics. The light-cone Fock state expansion provides both a precise definition of the relativistic wavefunctions of hadrons as bound-states of quarks and gluons and a general calculus for predicting QCD processes at the amplitude level. Applications to exclusive processes and weak decay amplitudes are discussed. The problem of computing the hadronic spectrum and the corresponding light-cone wavefunctions of QCD in one space and one time dimension has been successfully reduced to the diagonalization of a discrete representation of the light-cone Hamiltonian. The problems confronting the solution of gauge theories in 3 + 1 dimensions in the light-cone quantization formalism, including zero modes and non-perturbative renormalization, are reviewed.

Download or read book New Perspectives in Quantum Chromodynamics written by and published by . This book was released on 1993 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: In these lectures I will discuss three central topics in quantum chromodynamics: (1) the use of light cone quantization and Fock space methods to determine the long and short-distance structure of quark and gluon distributions within hadrons; (2) the role of spin, heavy quarks, and nuclei in unraveling fundamental phenomenological features of QCD; and (3) a new approach to understanding the scale and scheme dependence of perturbative QCD predictions.

Download or read book Proceedings of the Workshop on Lightcone QCD and Nonperturbative Hadron Physics written by Andreas W. Schreiber and published by . This book was released on 2000 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book New Non Perturbative Methods and Quantization on the Light Cone written by P. Grange and published by Springer. This book was released on 1998-04-24 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the several distinct ways of formulating and quantizing a Hamiltonian system, the light cone approach enjoys special status because it has the largest stability group. The aim of this volume is to present recent achievements and open problems in this rather unusual quantization framework to a large audience. The formulation is set up in a comprehensive introduction where the issues are also clearly indicated with specific examples: vacuum structure, signature of non-perturbative effects, chiral symmetry breaking, light cone gauge theories, etc. The following chapters address these topics through a selection of the most relevant contributions presented at Les Houches. This volume should prove valuable to newcomers in the field, and graduates and academics.

Download or read book Perturbative Quantum Chromodynamics written by A. H. Mueller and published by World Scientific. This book was released on 1989 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Qcd Lightcone Physics And Hadron Phenomenology Proceedings Of The Tenth Symposium On Nuclear Physics written by Chueng-ryong Ji and published by World Scientific. This book was released on 1998-07-31 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the most updated research reviews on the topics of QCD, Lightcone Quantization and Hadron Phenomenology. Graduate students and researchers can review recent progresses and explore future directions in nuclear/particle physics research.

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 Lightcone Qcd And Nonperturbative Hadron Physics Conf written by Andreas W Schreiber and published by World Scientific. This book was released on 2000-10-25 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 'Workshop on Lightcone QCD and Nonperturbative Hadron Physics', held in Adelaide, Australia, in December 1999. The contributions include papers on vacuum structure and zero modes, DLCQ, deep inelastic scattering, lightcone wavefunctions and hadron structure, hadron phenomenology, as well as numerical results from the lattice for both quenched and unquenched QCD.

Download or read book Quantum Chromodynamics and Other Field Theories on the Light Cone written by Stanley J. Brodsky and published by . This book was released on 1998 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Exclusive Processes in Quantum Chromodynamics and the Light Cone Fock Representation written by and published by . This book was released on 2000 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exclusive processes provide a window into the bound state structure of hadrons in QCD as well as the fundamental processes which control hadron dynamics at the amplitude level. The natural calculus for describing bound state structure of relativistic composite systems needed for describing exclusive amplitudes is the light-cone Fock expansion which encodes the multi-quark, gluonic, and color correlations of a hadron in terms of frame-independent wavefunctions. In hard exclusive processes in which hadrons receive a large momentum transfer, perturbative QCD leads to factorization theorems which separate the physics of bound state structure from that of the relevant quark and gluonic hard-scattering reactions which underlie these reactions. At leading twist, the bound state physics is encoded in terms of universal ''distribution amplitudes, '' the fundamental theoretical quantities which describe the valence quark substructure of hadrons as well as nuclei. The combination of discretized light-cone quantization and transverse lattice methods are now providing nonperturbative predictions for the pion distribution amplitude. A basic feature of the gauge theory formalism is ''color transparency, '' the absence of initial and final state interactions of rapidly-moving compact color-singlet states. Other applications of the factorization formalism are briefly discussed, including semileptonic B decays, deeply virtual Compton scattering, and dynamical higher twist effects in inclusive reactions. A new type of jet production reaction, ''self-resolving diffractive interactions'' provide empirical constraints on the light-cone wavefunctions of hadrons in terms of their quark and gluon degrees of freedom as well as the composition of nuclei in terms of their nucleon and mesonic degrees of freedom.