Books in the World Scientific Lecture Notes In Physics series

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.

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.

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.

Starting from Boltzmann's formula, this text formulates the microcanonical thermodynamics entirely within the frame of mechanics. Attention is given to the fragmentation of nuclei and atomic clusters as a peculiar phase transition of small systems controlled, among others, by angular momentum.

Describes quantum field theory within the context of path integrals. With its utility in a variety of fields in physics, the subject matter is primarily developed within the context of quantum mechanics before going into specialized areas. This book also covers path integral quantization of gauge theories and anomalies, and more.

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.

Begins by introducing the effective field approach, the simplest approach to phase transitions. This book provides an intuitive approximation to the physics of diverse phenomena such as liquid-vapor transitions, ferromagnetism, superconductivity, order-disorder in alloys, ferroelectricity, superfluidity and ferroelasticity.

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.

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.

Develops the techniques of perturbative QCD in pedagogical detail starting with field theory. Providing a comprehensive introduction to gauge theories, this book offers extensive treatments of the renormalization group technique, the operator product expansion formalism and their applications to short-distance reactions.