This self-contained book presents basic methods of numerical simulation of gravitational systems, with applications in astronomy and cosmology. The first half of the book presents and explains the fundamental mathematical tools needed to describe the dynamics of a large number of mutually attractive particles. Particular attention is given to the techniques needed to model known planetary and astrophysical phenomena such as Hubble motion. The second half of the book demonstrates how to develop clear and elegant algorithms for models of gravitational systems.
This self-contained book presents basic methods of numerical simulation of gravitational systems, with applications in astronomy and cosmology. The fi...
This book describes our present knowledge of protons and neutrons. Experiments using high-energy electrons, muons, and neutrinos reveal that the proton is made up of point-like constituents, i.e. quarks. The strong forces that bind quarks together, gluons, are described in terms of the modern theory of quantum chromodynamics (QCD). Larger and newer particle accelerators provide an opportunity to see deeper into the proton and probe the interactions between quarks and gluons at shorter distances. An understanding of this detailed substructure and of the fundamental forces responsible is one of...
This book describes our present knowledge of protons and neutrons. Experiments using high-energy electrons, muons, and neutrinos reveal that the proto...
This book is an introduction to integrability and conformal field theory in two dimensions using quantum groups. The book begins with a brief introduction to S-matrices, spin chains and vertex models as a prelude to the study of Yang-Baxter algebras and the Bethe ansatz. The authors then introduce the basic ideas of integrable systems, giving particular emphasis to vertex and face models. They give special attention to the underlying mathematical tools, including braid groups, knot invariants, and towers of algebras. The authors then go on to give a detailed introduction to quantum groups...
This book is an introduction to integrability and conformal field theory in two dimensions using quantum groups. The book begins with a brief introduc...
Quantum field theory forms the present theoretical framework for our understanding of the fundamental interactions of particle physics. This updated and expanded volume examines gauge theories and their symmetries with an emphasis on their physical and technical aspects. A new introductory chapter gives a systematic overview to classical field theories and a short discussion of their canonical quantization and the discrete symmetries C, P and T. Coverage provides a brief exposition of perturbation theory, the renormalization program, and the use of the renormalization group equation. It then...
Quantum field theory forms the present theoretical framework for our understanding of the fundamental interactions of particle physics. This updated a...
This is an introduction to the theory of affine Lie algebras and to the theory of quantum groups. It is unique in discussing these two subjects in a unified manner, which is made possible by discussing their respective applications in conformal field theory. The description of affine algebras covers the classification problem, the connection with loop algebras, and representation theory including modular properties. The necessary background from the theory of semisimple Lie algebras is also provided. The discussion of quantum groups concentrates on deformed enveloping algebras and their...
This is an introduction to the theory of affine Lie algebras and to the theory of quantum groups. It is unique in discussing these two subjects in a u...
This is an introduction to Lie algebras and their applications in physics. The first three chapters show how Lie algebras arise naturally from symmetries of physical systems and illustrate through examples much of their general structure. Chapters 4 to 13 give a detailed introduction to Lie algebras and their representations, covering the Cartan-Weyl basis, simple and affine Lie algebras, real forms and Lie groups, the Weyl group, automorphisms, loop algebras and highest weight representations. Chapters 14 to 22 cover specific further topics, such as Verma modules, Casimirs, tensor products...
This is an introduction to Lie algebras and their applications in physics. The first three chapters show how Lie algebras arise naturally from symmetr...
The quantum inverse scattering method is a means of finding exact solutions of two-dimensional models in quantum field theory and statistical physics (such as the sine-Gordon equation or the quantum nonlinear Schrodinger equation). This introduction to this important and exciting area first deals with the Bethe ansatz and calculation of physical quantities. The authors then tackle the theory of the quantum inverse scattering method before applying it in the second half of the book to the calculation of correlation functions. This is one of the most important applications of the method and the...
The quantum inverse scattering method is a means of finding exact solutions of two-dimensional models in quantum field theory and statistical physics ...
Now in paperback, this book provides a self-contained introduction to the cohomology theory of Lie groups and algebras and to some of its applications in physics. No previous knowledge of the mathematical theory is assumed beyond some notions of Cartan calculus and differential geometry (which are nevertheless reviewed in the book in detail). The examples, of current interest, are intended to clarify certain mathematical aspects and to show their usefulness in physical problems. The topics treated include the differential geometry of Lie groups, fiber bundles and connections, characteristic...
Now in paperback, this book provides a self-contained introduction to the cohomology theory of Lie groups and algebras and to some of its applications...
Quantum field theory describes basic physical phenomena over an extremely wide range of length or energy scales. Quantum fields exist in space and time, which can be approximated by a set of lattice points. This book presents a comprehensive and coherent account of the theory of quantum fields on a lattice, an essential technique for the study of the strong and electroweak nuclear interactions. After introductory chapters on scalar fields, gauge fields and fermion fields, the book studies quarks and gluons in QCD and fermions and bosons in the electroweak theory. The last chapter is devoted...
Quantum field theory describes basic physical phenomena over an extremely wide range of length or energy scales. Quantum fields exist in space and tim...
Kinetic Theory in the Expanding Universe is a self-contained exposition of the applications of kinetic theory to basic problems in modern cosmology, such as the role of stable and unstable massive neutrinos and the theory of cosmological helium production. There has been rapid development of the theory of the origin and evolution of the universe in recent years, stimulated, in large part, by new observations and theories in astrophysics and particle physics. Bernstein takes a different approach and studies what can be concluded from the application of kinetic theory, and in particular the...
Kinetic Theory in the Expanding Universe is a self-contained exposition of the applications of kinetic theory to basic problems in modern cosmology, s...