New Non Perturbative Methods And Quantization On The Light Cone
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| Author | : P. Grange |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 296 |
| Release | : 2013-06-29 |
| Genre | : Science |
| ISBN | : 3662089734 |
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.
| Author | : Stephan Narison |
| Publisher | : Cambridge University Press |
| Total Pages | : 813 |
| Release | : 2023-01-31 |
| Genre | : Science |
| ISBN | : 1009290312 |
This 2004 book provides a pedagogical introduction to the perturbative and non-perturbative aspects of quantum chromodynamics (QCD). The text introduces the basic theory of QCD and its historical development, covering pre-QCD ideas of strong interactions such as the quark and parton models, the notion of colours and the S-matrix approach. The author then discusses gauge theory, techniques of dimensional regularization and renormalization, deep inelastic scattering and hard processes in hadron collisions, hadron jets and e+e- annihilations. Other topics include power corrections and the technologies of the Shifman-Vainshtein-Zakharov operating product expansion. The final parts of the book are devoted to modern non-perturbative approaches to QCD and the phenomenological aspects of QCD spectral sum rules. The book will be a valuable reference for graduate students and researchers in high-energy particle and nuclear physics, both theoretical and experimental. This book has been reissued as an Open Access publication on Cambridge Core.
| Author | : Elcio Abdalla |
| Publisher | : World Scientific |
| Total Pages | : 834 |
| Release | : 2001-07-31 |
| Genre | : Science |
| ISBN | : 9814491225 |
The second edition of Non-Perturbative Methods in Two-Dimensional Quantum Field Theory is an extensively revised version, involving major changes and additions. Although much of the material is special to two dimensions, the techniques used should prove helpful also in the development of techniques applicable in higher dimensions. In particular, the last three chapters of the book will be of direct interest to researchers wanting to work in the field of conformal field theory and strings.This book is intended for students working for their PhD degree and post-doctoral researchers wishing to acquaint themselves with the non-perturbative aspects of quantum field theory.
| Author | : Masayasu Harada |
| Publisher | : World Scientific |
| Total Pages | : 444 |
| Release | : 2003 |
| Genre | : Science |
| ISBN | : 981279512X |
This volume presents the important recent progress in both theoretical and phenomenological issues of strong coupling gauge theories, with/without supersymmetry and extra dimensions, etc. Emphasis is placed on dynamical symmetry breaking with large anomalous dimensions governed by the dynamics near the nontrivial fixed point. Also presented are recent developments of the corresponding effective field theories, such as those including light spectra other than the NambuOCoGoldstone particles. This book is a must for all those who are interested in dynamical symmetry breaking and effective field theories in a modern version. Contents: Light-Front Quantization of Gauge Theories (S J Brodsky); Significance of the Renormalization Constant of the Color Gauge Field (K Nishijima & M Chaichian); Mass Gap and Color Confinement in YangOCoMills Theory Based on Asymptotic Solutions of SD Equation (K-I Kondo); Strong Coupling Approach to Transverse Lattice QCD (S Dalley); Vector Manifestation of Chiral Symmetry (M Harada); Locking Internal and Space-Symmetries: Relativistic Vector Condensation (F Sannino); A Practical Gauge Invariant Construction of Abelian Chiral Gauge Theories on the Lattice (Y Kikukawa); Neutrino Masses in Theories with Dynamical Breaking of Electroweak and Extended Gauge Symmetries (T Appelquist & R Schrock); Dynamical Electroweak Symmetry Breaking from Extra Dimensions (M Hashimoto et al.); Classical Solutions of Field Equations in Randall Sundrum Brane Worlds (D Karasik et al.); Flavor Constraints on Theory Space (E H Simmons et al.); Neutrino Mass Matrix in Terms of Up-Quark Masses (M Bando & M Obara); and other papers. Readership: Graduate students and researchers in high energy physics, particularly those interested in dynamical symmetry breaking and effective field theories."
| Author | : W. Kittel |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 458 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 9401141266 |
Particle production is an important topic in nuclear and particle physics. At high energies, particle production is considered to proceed via parton branching and subsequent fragmentation into hadrons. The study of the dynamics of this process and the study of the structure of hadrons in the context of quantum chromodynamics (QCD) belong to the challenges of the standard model of elementary particle physics, requiring new, nonperturba tive approaches in field theory. Within a nucleus, many-body dynamics is important and particle production may be used to determine many features of a non-equilibrium quantum system at low or high temperatures. At this Advanced Study Institute the different aspects of particle pro duction were expanded upon in a series of lectures given by experts in their fields, covering topics ranging from near-threshold meson production in proton-proton collisions to correlations in multi-GeV jet fragmentation in high-energy scattering processes and signals of a quark-gluon plasma formed in ultra-relativistic heavy-ion collisions. Strong emphasis was placed not only on state of the art research, but also on the necessary physics back ground. The lectures were supplemented by problem sets and discussion sessions. There was also time for students to present short contributions on their research.
| Author | : Yitzhak Frishman |
| Publisher | : Cambridge University Press |
| Total Pages | : 457 |
| Release | : 2023-07-31 |
| Genre | : Science |
| ISBN | : 1009401645 |
| Author | : |
| Publisher | : |
| Total Pages | : 1038 |
| Release | : 1994 |
| Genre | : Aeronautics |
| ISBN | : |
| Author | : |
| Publisher | : |
| Total Pages | : 820 |
| Release | : 2004 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : H A Kastrup |
| Publisher | : World Scientific |
| Total Pages | : 895 |
| Release | : 1993-06-30 |
| Genre | : |
| ISBN | : 9814554464 |
These proceedings provide a general summary of the theoretical and experimental results which have established QCD as the theory of the strong interactions in the past 20 years. The experimental status of this theory in e⁺e⁻ annihilation, deep inelastic lepton-nucleon scattering and hadron-hadron collisions is reviewed and the theoretical implications are critically discussed. In addition, our knowledge on the non-perturbative sector of QCD, based on lattice and sum rule approaches, is summarized.
| Author | : Maurice Jacob |
| Publisher | : World Scientific |
| Total Pages | : 526 |
| Release | : 1983-08-01 |
| Genre | : Science |
| ISBN | : 9814518891 |
Contents: Extended Systems in Field Theory :Introduction (J-L Gervais and A Neveu)Vortices and Quark Confinement in Non-Abelian Gauge Theories (S Mandelstam)Magnetic and Electric Confinement of Quarks (Y Nambu)Examples of Four-Dimensional Soliton Solutions and Abnormal Nuclear States (T D Lee)Classical Solution in the Massive Thirring Model (S-J Chang)Semiclassical Quantization Methods in Field Theory (A Neveu)The Quantum Theory of Solitons and Other Non-Linear Classical Waves (R Jackiw)Collective Coordinate Method for Quantization of Extended Systems (J-L Gervais, A Jevicki and B Sakita)Quantum Expansion of Soliton Solutions (N H Christ)Hartree-Type Approximation Applied to a ϕ4 Field Theory (S-J Chang)Soliton Operators for the Quantized Sine–Gordon Equation (S Mandelstam)Classical Aspects and Fluctuation-Behaviour of Two Dimensional Models in Statistical Mechanics and Many Body Physics (B Schroer)Quarks on a Lattice, or, the Colored String Model (K G Wilson)New Ideas about Confinement (L Susskind and J Kogut)Gauge Fields on a Lattice (C Itzykson)Non-Perturbative Aspects in Quantum Field Theory:Self-Dual Solutions to Euclidean Yang–Mills Equations (E Corrigan)An Introduction to the Twistor Programme (J Madore, J L Richard and R Stora)Collective Coordinates with Non-Trivial Dynamics (J-L Gervais)A Theory of the Strong Interactions (D J Gross)Magneticmonopoles (D Olive)Dynamical and Topological Considerations on Quark Confinement (F Englert and P Windey)Difficulties in Fixing the Gauge in Non-Abelian Gauge Theories (S Sciuto)Indeterminate-Mass Particles (B M Mccoy and T T Wu)Duality for Discrete Lattice Gauge Fields (C Itzykson)Large Order Estimates in Perturbation Theory (J Zinn-Justin)The Borel Transform and the Renormalization Group (G Parisi)Planar Diagrams (E Brezin)Exact S-Matrices and Form Factors in 1 + 1 Dimensional Field Theoretic Models with Soliton Behaviour (M Karowski)Topology and Higher Symmetries of the Two-Dimensional Nonlinear σ Model (A D'adda, M Luscher and P Di Vecchia)Two-Dimensional Yang–Mills Theory in the Leading 1/N Expansion (T T Wu)Superfluidity and the Two-Dimensional XY Model' (D R Nelson)Bosonized Fermions in Three Dimensions (A Luther)Symmetry and Topology Concepts for Spin Glasses and Other Glasses (G Toulouse)Common Trends in Particle and Condensed Matter Physics:Introduction to Localization(D J Thouless)Conductivity Scaling and Localization(E Abrahams)Disordered Electronic System as a Model of Interacting Matrices(F Wegner)Status Report on Spin Glasses (Not Included in this Report)(S Kirkpatrick)Mean Field Theory for Spin Glasses(G Parisi)The Random Energy Model(B Derrida)Towards a Mean Field Theory of Spin Glasses: the Tap Route Revisited (C De Dominicis)On the Connection Between Spin Glasses and Gauge Field Theories(G Toulouse, J Vannimenus)Monte Carlo Simulations of Lattice Gauge Theories(C Rebbi)Large Dimension Expansions and Transition Patterns in Lattice Gauge Theories(J-M Drouffe)Progress in Lattice Gauge Theory(J B Kogut)Phase Structure of the Z(2) Gauge and Matter Theory(D Horn)General Introduction to Confinement(S Mandelstam)A Simple Picture of the Weak-to-Strong Coupling Transition in Quantum Chromodynamics(C G Callan Jr.)Quantum Fluctuations in a Multiinstanton Background(B A Berg)Some Comments on the Crossover Between Strong and Weak Coupling in Su(2) Pure Yang–Mills Theory(J Frohlich)String Dynamics in QCD (J-L Gervais, A Neveu)Dual Models and Strings: The Critical Dimension(C B Thorn: )Duality and Finite Size Effects in Six Vertex Models(C.B. Thorn: )Scaling at a Bifurcation Point(M Nauenberg, D Scalapino)Some Implications of a Cosmological Phase Transition(T W B Kibble) Readership: Graduate students and researchers in particle physics andcondensed matter physics.
