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Classical and Quantum Dynamics of Constrained Hamiltonian Systems
This book is an introduction to the field of constrained Hamiltonian systems and their quantization, a topic which is of central interest to theoretical physicists who wish to obtain a deeper understanding of the quantization of gauge theories, such as describing the fundamental interactions in nature. Beginning with the early work of Dirac, the book covers the main developments in the field up to more recent topics, such as the field-antifield formalism of Batalin and Vilkovisky, including a short discussion of how gauge anomalies may be incorporated into this formalism. The book is comprehensive and well-illustrated with examples, enables graduate students to follow the literature on this subject without much problems, and to perform research in this field.
Non-perturbative Methods in 2 Dimensional Quantum Field Theory
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.
Non-perturbative Methods In Two Dimensional Quantum Field Theory
This book is a survey of methods used in the study of two-dimensional models in quantum field theory as well as applications of these theories in physics. It covers the subject since the first model, studied in the fifties, up to modern developments in string theories, and includes exact solutions, non-perturbative methods of study, and nonlinear sigma models.
Introduction To Particle Physics
This book focuses on the basics of particle physics, while covering as many frontier advances as possible.The book introduces readers to the principle of symmetry, properties and classification of particles, the quark model of hadrons and the interactions of particles. Following which, the book offers a step-by-step presentation on the unified theory of electromagnetic and weak interaction, as well as the gauge theory of strong interaction: quantum chromodynamics (QCD).In sequential order of the book's development, readers will study topics on the deep inelastic scattering and parton model, the mixing of electrically neutral particle and anti-particles of neutral K meson, neutral B meson and...
The Electron And The Lamb Shift
This book presents a detailed analytical description of the derivation of the Lamb shift in the Hydrogen atom using quantum field theory. This shift in energy levels, relative to what is predicted in traditional particle physics theory, is due to the phenomena of vacuum fluctuations and vacuum polarization which are accounted for in the quantum field theory as applied in particle physics. The derivation reported is done using perturbation theory and extends up to 4th order. This derivation has been carried out to higher orders by scientists all over the world throughout several decades and agrees exceptionally well with experimental data demonstrating the physical reality of vacuum fluctuations. This book also includes a historical overview of the understanding of the atom and its interaction with electromagnetic radiation as it was in the first half of the 20th century, when the calculation of the Lamb shift was first attempted.
Foundations Of Quantum Field Theory
Based on a two-semester course held at the University of Heidelberg, Germany, this book provides a solid basis for postgraduate students wishing to obtain a more profound understanding of the foundations of Quantum Field Theory. The book covers a wide spectrum of topics ranging from traditional operator and modern path integral methods, to different regularization and renormalization methods, asymptotic behavior of Green functions, a particular view on the Renormalization Group, and spontaneous symmetry breaking in effective potentials. Much effort has been made to present the material in a transparent, detailed and structured way, which should help the reader to follow the material.
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