Author: Alex LangnauPublisher:
ISBN:
Category :
Languages : de
Pages : 132
Book Description
Perturbation Theory in Light-cone Quantization
Author: Alex LangnauPerturbation Theory in Light-cone Quantization
Author: Publisher:
ISBN:
Category :
Languages : en
Pages : 132
Book Description
A thorough investigation of light-cone properties which are characteristic for higher dimensions is very important. The easiest way of addressing these issues is by analyzing the perturbative structure of light-cone field theories first. Perturbative studies cannot be substituted for an analysis of problems related to a nonperturbative approach. However, in order to lay down groundwork for upcoming nonperturbative studies, it is indispensable to validate the renormalization methods at the perturbative level, i.e., to gain control over the perturbative treatment first. A clear understanding of divergences in perturbation theory, as well as their numerical treatment, is a necessary first step towards formulating such a program. The first objective of this dissertation is to clarify this issue, at least in second and fourth-order in perturbation theory. The work in this dissertation can provide guidance for the choice of counterterms in Discrete Light-Cone Quantization or the Tamm-Dancoff approach. A second objective of this work is the study of light-cone perturbation theory as a competitive tool for conducting perturbative Feynman diagram calculations. Feynman perturbation theory has become the most practical tool for computing cross sections in high energy physics and other physical properties of field theory. Although this standard covariant method has been applied to a great range of problems, computations beyond one-loop corrections are very difficult. Because of the algebraic complexity of the Feynman calculations in higher-order perturbation theory, it is desirable to automatize Feynman diagram calculations so that algebraic manipulation programs can carry out almost the entire calculation. This thesis presents a step in this direction. The technique we are elaborating on here is known as light-cone perturbation theory.
New Non-Perturbative Methods and Quantization on the Light Cone
Author: P. GrangePublisher: Springer Science & Business Media
ISBN: 3662089734
Category : Science
Languages : en
Pages : 296
Book Description
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.
Methods of Quantization
Author: Heimo LatalPublisher: Springer
ISBN: 3540451145
Category : Science
Languages : en
Pages : 235
Book Description
Most of our present understanding of the elementary building blocks of matter and the forces between them is based on the quantized version of the field theories which are locally symmetric under gauge transformations. The present set of lecture notes gives both a status report and a survey of recent advances for the most important quantization methods in the field theories for elementary particle physics. The first part of the book introduces light-cone quantization as an interesting alternative to the commonly used covariant perturbation theory and functional-integral methods. Next, a general formalism for quantizing systems with constraints, the projection-operator approach, is presented and structural aspects of the renormalization problem for gauge invariant field theories are discussed. Finally, the mathematics underlying the functional-integral quantization is reviewed. Suitable as a reference for researchers in the field, the book will prove particularly useful for lecturers and graduate students in search of additional reading beyond the standard texts on quantum field theory.
Perturbative Quantum Chromodynamics
Author: A. H. MuellerPublisher: World Scientific
ISBN: 9789971505646
Category : Science
Languages : en
Pages : 626
Book Description
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.
LIGHT CONE BEHAVIOR OF PERTURBATION THEORY.
Author: Qcd - 20 Years Later (In 2 Volumes)
Author: H A KastrupPublisher: World Scientific
ISBN: 9814554464
Category :
Languages : en
Pages : 895
Book Description
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.
Lightcone Qcd And Nonperturbative Hadron Physics, Conf
Author: Andreas W SchreiberPublisher: World Scientific
ISBN: 9814542849
Category :
Languages : en
Pages : 325
Book Description
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.
Studies of Lightcone World Sheet Dynamics in Perturbation Theory and with Monte Carlo Simulations
Author: Skuli GudmundssonPublisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
ABSTRACT: In this thesis we apply computer based simulation techniques to tackle large N_c quantum field theory on the light-cone. The basis for the investigation was set by Bardakci and Thorn in 2002 when they showed how planar diagrams of such theories could be mapped into the dynamics of a world-sheet. We call such a reformulated field theory a Lightcone World Sheet. The Lightcone World Sheet formalism offers a new view on light-cone field theories which allows for applications of string-theory techniques, thereby greatly augmenting the machinery available for investigating such theories. As an investigation of the Lightcone World Sheet itself the current work presents stochastic modelling techniques as a means of clarifying the formalism and developing intuition for further work. Seen as an investigation of the underlying quantum field theory, the approach taken here is to capitalize on the only two dimensions of the world-sheet as opposed to the four dimensions of the field theory.
Theory Of Hadrons And Light Front Qcd - Proceedings Of The Fourth International Workshop On Light-front Quantization And Non-perturbative Dynamics
Author: S D GlazekPublisher: World Scientific
ISBN: 9814549568
Category :
Languages : en
Pages : 338
Book Description
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.