Bücher der Reihe World Scientific Lecture Notes In Physics

These lecture notes provide a course on modern, co-ordinate-free differential geometry. They introduce general topology and co-ordinate-free differential geometry, examine geometrical aspects of the theory of Lie groups and Lie group actions on manifolds, and cover the theory of fibre bundles.

This work is an extensive set of lecture notes on various aspects of non-perturbative quantum chromodynamics - the fundamental theory of strong interaction on which nuclear and hadronic physics is based.

An introduction to various issues related to the theory and phenomenology of massive neutrinos for the nonexpert, also providing a discussion of results in the field for the active researcher. All the necessary techniques and logics are included and topics such as supersymmetry are covered.

Provides an introduction to gauge field theories formulated on a space-time lattice, and in particular of QCD. This title also provides the reader with the necessary analytical and numerical techniques to carry out research on his own. It introduces the reader to problems which are under intensive investigation.

Supersymmetry is a symmetry which combines bosons and fermions in the same multiplet of a larger group which unites the transformations of this symmetry with that of spacetime. This title provides an introduction to supersymmetry, and begins with a chapter on spacetime symmetries and spinors. It also addresses the breaking of supersymmetry.

Volume 58 in the WORLD SCIENTIFIC LECTURE NOTES IN PHYSICS series.This volume constitutes a course on a number of central concepts of solid state physics, such as the classification of solids, band theory, the developments in one-electron band theory with the presence of perturbation, effective Hamilton theory, and other theories.

Discusses the concepts and mathematics behind the author's research works on the foam model, as applied to studying issues of phase stability and elasticity for various non-closed packed structures found in fuzzy and colloidal crystals, as well as on a renormalization-group analysis regarding the critical behavior of loop polymers.

This book explains the physics and phenomenology of massive neutrinos. The authors argue that neutrino mass is not unlikely and consider briefly the search for evidence of this mass in decay processes before they examine the physics and phenomenology of neutrino oscillation. The physics of Majorana neutrinos (neutrinos which are their own antiparticles) is then discussed. This volume requires of the reader only a knowledge of quantum mechanics and of very elementary quantum field theory.

In this book, distributions are introduced via sequences of functions. This approach due to Temple has two virtues: It only presupposes standard calculus. It allows to justify manipulations necessary in physical applications.The Fourier transform is defined for functions and generalized to distributions, while the Green function is defined as the outstanding application of distributions. Using Fourier transforms, the Green functions of the important linear differential equations in physics are computed. Linear algebra is reviewed with emphasis on Hilbert spaces. The author explains how linear differential operators and Fourier transforms naturally fit into this frame, a point of view that leads straight to generalized fourier transforms and systems of special functions like spherical harmonics, Hermite, Laguerre, and Bessel functions.

This book provides a thorough description of the manifestly covariant canonical formalism of the abelian and non-abelian gauge theories and quantum gravity. The emphasis is on its non-perturbative nature and the non-use of the path-integral approach. The formalism presented here is extremely beautiful and transparent.

The aim of the book is to give an introduction to the method of QCD Spectral Sum Rules and to review its developments. After some general introductory remarks, Chiral Symmetry, the Historical Developments of the Sum Rules and the necessary materials for perturbative QCD including the MS regularization and renormalization schemes are discussed. The book also gives a critical review and some improvements of the wide uses of the QSSR in Hadron Physics and QSSR beyond the Standard Hadron Phenomenology. The author has participated actively in this field since 1978 just before the expanding success of the SVZ QSSR.

These lecture notes are based on special courses on Field Theory and Statistical Mechanics given for graduate students at the City College of New York. It is an ideal text for a one-semester course on Quantum Field Theory.