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Light Front Quantized Qcd In Covariant Gauge
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Book Synopsis Light-front-quantized QCD in Covariant Gauge by :
Download or read book Light-front-quantized QCD in Covariant Gauge written by and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The light-front (LF) canonical quantization of quantum chromodynamics in covariant gauge is discussed. The Dirac procedure is used to eliminate the constraints in the gauge-fixed front form theory quantum action and to construct the LF Hamiltonian formulation. The physical degrees of freedom emerge naturally. The propagator of the dynamical[psi][sub+] part of the free fermionic propagator in the LF quantized field theory is shown to be causal and not to contain instantaneous terms. Since the relevant propagators in the covariant gauge formulation are causal, rotational invariance--including the Coulomb potential in the static limit--can be recovered, avoiding the difficulties encountered in light-cone gauge. The Wick rotation may also be performed allowing the conversion of momentum space integrals into Euclidean space forms. Some explicit computations are done in quantum electrodynamics to illustrate the equivalence of front form theory with the conventional covariant formulation. LF quantization thus provides a consistent formulation of gauge theory, despite the fact that the hyperplanes x[sup[+-]]= 0 used to impose boundary conditions constitute characteristic surfaces of a hyperbolic partial differential equation.
Book Synopsis Light-Front-Quantized QCD in Light-Cone Gauge by :
Download or read book Light-Front-Quantized QCD in Light-Cone Gauge written by and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The light-front (LF) quantization of QCD in light-cone gauge has a number of remarkable advantages, including explicit unitarity, a physical Fock expansion, the absence of ghost degrees of freedom, and the decoupling properties needed to prove factorization theorems in high momentum transfer inclusive and exclusive reactions. We present a systematic study of LF-quantized gauge theory following the Dirac method and construct the Dyson-Wick S-matrix expansion based on LF-time-ordered products. The gauge field is shown to satisfy the Lorentz condition as an operator equation as well as the light-cone gauge condition. Its propagator is found to be transverse with respect to both its four-momentum and the gauge direction. The propagator of the dynamical[psi][sub+] part of the free fermionic field is shown to be causal and to not contain instantaneous terms. The interaction Hamiltonian of QCD can be expressed in a form resembling that of covariant theory, except for additional instantaneous interactions which can be treated systematically. The renormalization factors are shown to be scalars and we find Z[sub 1]= Z[sub 3] at one loop order. The running coupling constant and QCD[beta] function are also computed in the noncovariant light-cone gauge. Some comments on the relationship of our LF framework to the analytic effective charge and renormalization scheme defined by the pinch technique are made. LF quantization thus provides a consistent formulation of gauge theory, despite the fact that the hyperplanes x[sup[+-]]= 0 used to impose boundary conditions constitute characteristic surfaces of a hyperbolic partial differential equation.
Book Synopsis Theory Of Hadrons And Light Front Qcd - Proceedings Of The Fourth International Workshop On Light-front Quantization And Non-perturbative Dynamics by : S D Glazek
Download or read book Theory Of Hadrons And Light Front Qcd - Proceedings Of The Fourth International Workshop On Light-front Quantization And Non-perturbative Dynamics written by S D Glazek and published by World Scientific. This book was released on 1995-04-26 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes 45 talks and reports from facilitated discussions by outstanding contributors to the theory of hadrons that cover the entire spectrum of computational strategies being developed to solve QCD.A new computational strategy for solving light-front QCD, a strategy which starts with a constituent quark model that can be solved using the weak-coupling methods of QED, is extensively reviewed.
Book Synopsis Light-Front QCD in Light-Cone Gauge by :
Download or read book Light-Front QCD in Light-Cone Gauge written by and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The light-front (LF) quantization [1] of QCD in light-cone (l.c.) gauge is discussed. The Dirac method is employed to construct the LF Hamiltonian and theory quantized canonically. The Dyson-Wick perturbation theory expansion based on LF-time ordering is constructed. The framework incorporates in it simultaneously the Lorentz gauge condition as an operator equation as well. The propagator of the dynamical psi+ part of the free fermionic propagator is shown to be causal while the gauge field propagator is found to be transverse. The interaction Hamiltonian is re-expressed in the form closely resembling the one in covariant theory, except for additional instantaneous interactions, which can be treated systematically. Some explicit computations in QCD are given.
Book Synopsis Light-Front Quantization and AdS/QCD by :
Download or read book Light-Front Quantization and AdS/QCD written by and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We give an overview of the light-front holographic approach to strongly coupled QCD, whereby a confining gauge theory, quantized on the light front, is mapped to a higher-dimensional anti de Sitter (AdS) space. The framework is guided by the AdS/CFT correspondence incorporating a gravitational background asymptotic to AdS space which encodes the salient properties of QCD, such as the ultraviolet conformal limit at the AdS boundary at z → 0, as well as modifications of the geometry in the large z infrared region to describe confinement and linear Regge behavior. There are two equivalent procedures for deriving the AdS/QCD equations of motion: one can start from the Hamiltonian equation of motion in physical space time by studying the off-shell dynamics of the bound state wavefunctions as a function of the invariant mass of the constituents. To a first semiclassical approximation, where quantum loops and quark masses are not included, this leads to a light-front Hamiltonian equation which describes the bound state dynamics of light hadrons in terms of an invariant impact variable [zeta] which measures the separation of the partons within the hadron at equal light-front time. Alternatively, one can start from the gravity side by studying the propagation of hadronic modes in a fixed effective gravitational background. Both approaches are equivalent in the semiclassical approximation. This allows us to identify the holographic variable z in AdS space with the impact variable [zeta]. Light-front holography thus allows a precise mapping of transition amplitudes from AdS to physical space-time. The internal structure of hadrons is explicitly introduced and the angular momentum of the constituents plays a key role.
Book Synopsis Foundations of Perturbative QCD by : John Collins
Download or read book Foundations of Perturbative QCD written by John Collins and published by Cambridge University Press. This book was released on 2023-07-31 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Light-Front Quantization and QCD Phenomena by :
Download or read book Light-Front Quantization and QCD Phenomena written by and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The light-front quantization of QCD provides an alternative to lattice gauge theory for computing the mass spectrum, scattering amplitudes, and other physical properties of hadrons directly in Minkowski space. Nonperturbative light-front methods for solving gauge theory and obtaining light-front wavefunctions, such as discretized light-front quantization, the transverse lattice, and light-front resolvents are reviewed. The resulting light-front wavefunctions give a frame-independent interpolation between hadrons and their quark and gluon degrees of freedom, including an exact representation of spacelike form factors, transition form factors such as B [yields] [ell][bar [nu]][pi], and generalized parton distributions. In the case of hard inclusive reactions, the effects of final-state interactions must be included in order to interpret leading-twist diffractive contributions, nuclear shadowing, and single-spin asymmetries. I also discuss how the AdS/CFT correspondence between string theory and conformal gauge theory can be used to constrain the form and power-law fall-off of the light-front wavefunctions. In the case of electroweak theory, light-front quantization leads to a unitary and renormalizable theory of massive gauge particles, automatically incorporating the Lorentz and 't Hooft conditions as well as the Goldstone boson equivalence theorem. Spontaneous symmetry breaking is represented by the appearance of zero modes of the Higgs field, leaving the light-front vacuum equal to the perturbative vacuum.
Book Synopsis New Non-Perturbative Methods and Quantization on the Light Cone by : P. Grange
Download or read book New Non-Perturbative Methods and Quantization on the Light Cone written by P. Grange and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 296 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.
Book Synopsis At The Frontier Of Particle Physics: Handbook Of Qcd (In 3 Vols) by : Misha Shifman
Download or read book At The Frontier Of Particle Physics: Handbook Of Qcd (In 3 Vols) written by Misha Shifman and published by World Scientific. This book was released on 2001-04-10 with total page 2196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of reviews covering all aspects of quantum chromodynamics as we know it today. The articles have been written by recognized experts in this field, in honor of the 75th birthday of Professor Boris Ioffe. Combining features of a handbook and a textbook, this is the most comprehensive source of information on the present status of QCD. It is intended for students as well as physicists — both theorists and experimentalists.Each review is self-contained and pedagogically structured, providing the general formulation of the problem, telling where it stands with respect to other issues and why it is interesting and important, presenting the history of the subject, qualitative insights, and so on. The first part of the book is historical in nature. It includes, among other articles, Boris Ioffe's and Yuri Orlov's memoirs on high energy physics in the 1950's, a note by B V Geshkenbein on Ioffe's career in particle physics, and an essay on the discovery of asymptotic freedom written by David Gross.
Book Synopsis Strong Coupling Gauge Theories and Effective Field Theories by : K?ichi Yamawaki
Download or read book Strong Coupling Gauge Theories and Effective Field Theories written by K?ichi Yamawaki and published by World Scientific. This book was released on 2003 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Readership: Graduate students and researchers in high energy physics, particularly those interested in dynamical symmetry breaking and effective field theories.
Book Synopsis Hadron Physics 2000: Topics On The Structure And Interaction Of Hadronic Systems, Procs Of The Intl Workshop by : Gastao Krein
Download or read book Hadron Physics 2000: Topics On The Structure And Interaction Of Hadronic Systems, Procs Of The Intl Workshop written by Gastao Krein and published by World Scientific. This book was released on 2001-04-30 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a recent survey of the advances in hadron physics. The main topics are nonperturbative high energy processes in QCD, deep inelastic scattering and perturbative QCD, RHIC and quark-gluon plasma physics and effective theories for low energy QCD.The book contains four series of lectures written in a pedagogical style and a number of short papers on the main subject. They will benefit researchers who want to be familiar with the frontiers of hadron physics and its connection with the large experimental programs under development in laboratories such as the Relativistic Heavy Ion Collider (RHIC) and the Thomas Jefferson National Laboratory.
Book Synopsis International Workshop on Hadron Physics 2000 by : Fernando Silveira Navarra
Download or read book International Workshop on Hadron Physics 2000 written by Fernando Silveira Navarra and published by World Scientific. This book was released on 2001 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a recent survey of the advances in hadron physics. The main topics are nonperturbative high energy processes in QCD, deep inelastic scattering and perturbative QCD, RHIC and quark-gluon plasma physics and effective theories for low energy QCD.The book contains four series of lectures written in a pedagogical style and a number of short papers on the main subject. They will benefit researchers who want to be familiar with the frontiers of hadron physics and its connection with the large experimental programs under development in laboratories such as the Relativistic Heavy Ion Collider (RHIC) and the Thomas Jefferson National Laboratory.
Book Synopsis At the Frontier of Particle Physics by : B. L. Ioffe
Download or read book At the Frontier of Particle Physics written by B. L. Ioffe and published by World Scientific. This book was released on 2001 with total page 779 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of reviews covering all aspects of quantum chromodynamics as we know it today. The articles have been written by recognized experts in this field, in honor of the 75th birthday of Professor Boris Ioffe. Combining features of a handbook and a textbook, this is the most comprehensive source of information on the present status of QCD. It is intended for students as well as physicists OCo both theorists and experimentalists.Each review is self-contained and pedagogically structured, providing the general formulation of the problem, telling where it stands with respect to other issues and why it is interesting and important, presenting the history of the subject, qualitative insights, and so on. The first part of the book is historical in nature. It includes, among other articles, Boris Ioffe''s and Yuri Orlov''s memoirs on high energy physics in the 1950''s, a note by B V Geshkenbein on Ioffe''s career in particle physics, and an essay on the discovery of asymptotic freedom written by David Gross."
Book Synopsis Particle Physics Phenomenology, 5th Intl Workshop by : Hsiang-nan Li
Download or read book Particle Physics Phenomenology, 5th Intl Workshop written by Hsiang-nan Li and published by World Scientific. This book was released on 2001-04-24 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, recent theoretical and experimental progress in QCD phenomenology, neutrino physics, B physics and CP violation is reviewed.
Book Synopsis Light-Front Quantization and QCD Phenomena by : S. Brodsky
Download or read book Light-Front Quantization and QCD Phenomena written by S. Brodsky and published by . This book was released on 2003 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: The light-front quantization of QCD provides an alternative to lattice gauge theory for computing the mass spectrum, scattering amplitudes, and other physical properties of hadrons directly in Minkowski space. Nonperturbative light-front methods for solving gauge theory and obtaining light-front wavefunctions, such as discretized light-front quantization, the transverse lattice, and light-front resolvents are reviewed. The resulting light-front wavefunctions give a frame-independent interpolation between hadrons and their quark and gluon degrees of freedom, including an exact representation of spacelike form factors, transition form factors such as B {yields} {ell}{bar {nu}}{pi}, and generalized parton distributions. In the case of hard inclusive reactions, the effects of final-state interactions must be included in order to interpret leading-twist diffractive contributions, nuclear shadowing, and single-spin asymmetries. I also discuss how the AdS/CFT correspondence between string theory and conformal gauge theory can be used to constrain the form and power-law fall-off of the light-front wavefunctions. In the case of electroweak theory, light-front quantization leads to a unitary and renormalizable theory of massive gauge particles, automatically incorporating the Lorentz and 't Hooft conditions as well as the Goldstone boson equivalence theorem. Spontaneous symmetry breaking is represented by the appearance of zero modes of the Higgs field, leaving the light-front vacuum equal to the perturbative vacuum.
Book Synopsis Relativistic Quantum Invariance by : Chueng-Ryong Ji
Download or read book Relativistic Quantum Invariance written by Chueng-Ryong Ji and published by Springer Nature. This book was released on 2023-12-14 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the invariant nature of the relativistic quantum field theories utilizing the idea of interpolating the instant form dynamics and the light-front dynamics. While the light-front dynamics (LFD) based on the light-front time was proposed by Dirac in 1949, there has not yet been a salient review on the connection between the LFD and the instant form dynamics (IFD) based on the ordinary time. By reviewing the connection between LFD and IFD using the idea of interpolating the two different forms of the relativistic dynamics, one can learn the distinguished features of each form and how one may utilize those distinguished features in solving the complicated relativistic quantum field theoretic problems more effectively. With the ongoing 12-GeV Jefferson Lab experiments, the internal structures of the nucleon and nuclei are vigorously investigated in particular using the physical observables defined in the LFD rather than in the IFD. This book offers a clear demonstration on why and how the LFD is more advantageous than the IFD for the study of hadron physics, illustrating the differences and similarities between these two distinguished forms of the dynamics. It aims at presenting the basic first-hand knowledge of the relativistic quantum field theories, describing why and how the different forms of dynamics (e.g., IFD and LFD) can emerge in them, connecting the IFD and the LFD using the idea of the interpolation, and demonstrating explicit examples of the interpolation in quantum electrodynamics and other field theories. While the level of presentation is planned mainly for the advanced undergraduate students and the beginning graduate students, the topics of the interpolation between the IFD and the LFD are innovative enough for even the experts in the field to appreciate its usefulness.
Book Synopsis Particle Physics Phenomenology by : Hsiang-nan Li
Download or read book Particle Physics Phenomenology written by Hsiang-nan Li and published by World Scientific. This book was released on 2001 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, recent theoretical and experimental progress in QCD phenomenology, neutrino physics, B physics and CP violation is reviewed. Contents: Lectures: Hadronic Light-Front Wavefunctions and QCD Phenomenology (S J Brodsky); Lectures on the Theory of Non-Leptonic B Decays (M Neubert); Neutrino Physics (P Vogel); Invited Talks: Recent Results from Lattice QCD on CP-PACS (S Aoki); QCD on a Transverse Lattice (M Burkardt & S Seal); QCD at the Tevatron and LHC (J Huston); Rare B Physics Results from BELLE (C H Wang); Recent BCP Progress in Taiwan (H-n Li); QCD-Improved Factorization in Nonleptonic B Decays (J Chay); Rare Radiative B Decays in Perturbative QCD (D Pirjol); Neutrino Experiments: Highlights (H T-K Wong); Neutrinos and Cosmology (S Pakvasa); Embed Zee Neutrino Mass Model into SUSY (K Cheung); Electroweak Sudakov Corrections at 2 Loop Level (H Kawamura). Readership: Graduate students, researchers and academics in particle physics.
