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Author: B. L. Ioffe Publisher: Cambridge University Press ISBN: 0521631483 Category : Science Languages : en Pages : 597
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
Author: B. L. Ioffe Publisher: Cambridge University Press ISBN: 0521631483 Category : Science Languages : en Pages : 597
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
Author: Yitzhak Frishman Publisher: Cambridge University Press ISBN: 1139486489 Category : Science Languages : en Pages : 455
Book Description
Providing a new perspective on quantum field theory, this book is useful for graduate students and researchers within and outside the field. It describes non-perturbative methods, and explores two-dimensional and four-dimensional gauge dynamics using those methods. Applications are thoroughly described.
Author: Franco Strocchi Publisher: OUP Oxford ISBN: 0191651346 Category : Science Languages : en Pages : 608
Book Description
Quantum Field Theory (QFT) has proved to be the most useful strategy for the description of elementary particle interactions and as such is regarded as a fundamental part of modern theoretical physics. In most presentations, the emphasis is on the effectiveness of the theory in producing experimentally testable predictions, which at present essentially means Perturbative QFT. However, after more than fifty years of QFT, we still are in the embarrassing situation of not knowing a single non-trivial (even non-realistic) model of QFT in 3+1 dimensions, allowing a non-perturbative control. As a reaction to these consistency problems one may take the position that they are related to our ignorance of the physics of small distances and that QFT is only an effective theory, so that radically new ideas are needed for a consistent quantum theory of relativistic interactions (in 3+1 dimensions). The book starts by discussing the conflict between locality or hyperbolicity and positivity of the energy for relativistic wave equations, which marks the origin of quantum field theory, and the mathematical problems of the perturbative expansion (canonical quantization, interaction picture, non-Fock representation, asymptotic convergence of the series etc.). The general physical principles of positivity of the energy, Poincare' covariance and locality provide a substitute for canonical quantization, qualify the non-perturbative foundation and lead to very relevant results, like the Spin-statistics theorem, TCP symmetry, a substitute for canonical quantization, non-canonical behaviour, the euclidean formulation at the basis of the functional integral approach, the non-perturbative definition of the S-matrix (LSZ, Haag-Ruelle-Buchholz theory). A characteristic feature of gauge field theories is Gauss' law constraint. It is responsible for the conflict between locality of the charged fields and positivity, it yields the superselection of the (unbroken) gauge charges, provides a non-perturbative explanation of the Higgs mechanism in the local gauges, implies the infraparticle structure of the charged particles in QED and the breaking of the Lorentz group in the charged sectors. A non-perturbative proof of the Higgs mechanism is discussed in the Coulomb gauge: the vector bosons corresponding to the broken generators are massive and their two point function dominates the Goldstone spectrum, thus excluding the occurrence of massless Goldstone bosons. The solution of the U(1) problem in QCD, the theta vacuum structure and the inevitable breaking of the chiral symmetry in each theta sector are derived solely from the topology of the gauge group, without relying on the semiclassical instanton approximation.
Author: G. Hooft Publisher: Springer Science & Business Media ISBN: 1461307295 Category : Science Languages : en Pages : 603
Book Description
During the past 15 years, quantum field theory and classical statistical mechanics have merged into a single field, and the need for nonperturbative methods for the description of critical phenomena in statistical mechanics as well as for problems in elementary particle physics are generally acknowledged. Such methods formed the central theme of the 1987 Cargese Advanced Study Institut. e on "Nonpert. urbat. ive Quantum Field Theory." The use of conformal symmet. ry has been of central interest in recent years, and was a main subject at. t. he ASI. Conformal invariant quantum field theory describes statistical mechanical systems exactly at a critical point, and can be analysed to a remarkable ext. ent. by group t. heoretical methods. Very strong results have been obtained for 2-dimensional systems. Conformal field theory is also the basis of string theory, which offers some hope of providing a unified t. heory of all interactions between elementary particles. Accordingly, a number of lectures and seminars were presented on these two topics. After syst. ematic introductory lectures, conformal field theory on Riemann surfaces, orbifolds, sigma models, and application of loop group theory and Grassmannians were discussed, and some ideas on modular geometry were presented. Other lectures combined' traditional techniques of constructive quant. um field theory with new methods such as the use of index-t. heorems and infinite dimensional (Kac Moody) symmetry groups. The problems encountered in a quantum mechanical description of black holes were discussed in detail.
Author: Lidia S Ferreira Publisher: World Scientific ISBN: 9814542881 Category : Languages : en Pages : 510
Book Description
This volume presents a selection of current developments in quantum chromodynamics, with some emphasis on the borderline between the perturbative and the nonperturbative regime. The topics include: effective QCD, sum rules, vacuum structure, confinement, bound states, quark masses, lattice QCD, deconfinement, deep inelastic scattering and structure functions, strong coupling constant, radiative corrections.
Author: Herbert Martin Fried Publisher: World Scientific ISBN: 9810247486 Category : Science Languages : en Pages : 408
Book Description
This volume is devoted to different facets of QCD, stressing non-perturbative, analytic and lattice formulations, scattering solutions and approximations, and the understanding of recent RHIC experiments. It discusses ideas of the fifth dimension, originating in brane theory, as well as possible experimental tests and predictions of those ideas.
Author: Herbert Martin Fried Publisher: World Scientific ISBN: 9814490113 Category : Science Languages : en Pages : 408
Book Description
This volume is devoted to different facets of QCD, stressing non-perturbative, analytic and lattice formulations, scattering solutions and approximations, and the understanding of recent RHIC experiments. It discusses ideas of the fifth dimension, originating in brane theory, as well as possible experimental tests and predictions of those ideas.
Author: Società italiana di fisica Publisher: IOS Press ISBN: 1614992150 Category : Science Languages : en Pages : 535
Book Description
The book addresses aspects of QCD which are related to its underlying structure as a field theory and to its mechanisms. Perturbative expansions do not work at large distances for QCD: the hadron spectrum, the confinement of colour, its deconfinement at high temperatures and the breaking of chiral symmetry all need nonperturbative methods of analysis. Sum rules, chiral perturbation theory and the formulation of QCD on a lattice are some of the tools used to test models, like the stochastic vacuum, the instanton liquid or the consideration of monopoles in the vacuum to produce dual superconductivity and confinement. The work covers different points of view and critical comparison between the different approaches. It can be considered a good reference text.
Author: Walter Greiner Publisher: Springer Science & Business Media ISBN: 3642579787 Category : Science Languages : en Pages : 423
Book Description
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.
Author: B. L. Ioffe
Author: B. L. Ioffe
Author: Yitzhak Frishman
Author: Franco Strocchi
Author: G. Hooft
Author: Lidia S Ferreira
Author: Herbert Martin Fried
Author: Andrew Watson
Author: Herbert Martin Fried
Author: Società italiana di fisica
Author: Walter Greiner