Bøger i Cambridge Monographs on Mathematical Physics serien

This overview of mass dimension one fermions and the eigenspinors of the charge conjugation operator is written by one of the theoretical physicists involved in their discovery. With mass dimension one fermions being candidates for dark matter, this is an important book for students and researchers in quantum field theory.

A self-contained and unique text systematically presenting the determination and classification of exact solutions in three-dimensional Einstein gravity.

Written for researchers focusing on general relativity, supergravity, and cosmology, this is a self-contained exposition of the structure of the cosmological singularity in generic solutions of the Einstein equations, and an up-to-date mathematical derivation of the theory underlying the Belinski-Khalatnikov-Lifshitz conjecture on this area of research.

This accessible volume provides the cosmological and string-theoretic background necessary to understand inflation in string theory. Presenting a modern treatment of inflationary cosmology and its connections to string theory and elementary particle theory, this is a self-contained resource for graduate students and researchers in string theory, cosmology, and related fields.

Written for advanced graduate students and researchers in elementary particle physics, cosmology and related fields, this book brings the reader up to the level of current research in the field. It discusses the most important classes of solitons: kinks, vortices and magnetic monopoles, as well as Euclidean solutions.

Originally published at the height of the first revolution in string theory, these two volumes went on to define the field. Volume 2 focuses on one-loop amplitudes, anomalies and phenomenology. Featuring a new Preface, this book is invaluable for graduate students and researchers in high energy physics and astrophysics.

The development of gauge theories has provided the basis for a complete and consistent account of weak interactions - for example between neutrinos and matter - whilst displaying their unity with electromagnetism. This 1979 book examines gauge theories, which were first proposed in this context in 1976.

This monograph, originally published in 1980, seeks to provide an introduction to high-energy model making. Its aim is to explain the basic ideas in a form accessible to graduate students and other readers who have acquired a first-hand knowledge of quantum field theory and basic particle physics, including the elements of Regge theory.

Introducing graduate students and researchers to mathematical physics, this book discusses two recent developments. Providing a mathematical discourse on the relation between theoretical and experimental physics, the book gives detailed accounts of the mathematically difficult measurement theories of von Neumann and Sewell.

Now in paperback, this book is the first comprehensive and coherent introduction to the role of cosmic strings and other topological defects in the universe. Ample introductory material makes the book accessible to the wide audience of particle physicists, astrophysicists and cosmologists for whom this topic is of immediate interest.

This book provides a complete treatise of the canonical quantisation of general relativity and the loop quantum gravity theory. Mathematical concepts are provided, so it can be read by graduate students with a basic knowledge of quantum field theory or general relativity.

This book is an introduction to the Schwinger action principle in quantum mechanics and quantum field theory, with applications to a variety of different models, not only those of interest to particle physics. It will interest graduate students and researchers in theoretical physics who are familiar with quantum mechanics.

Investigating the issues involved in gravitational collapse, this book includes a detailed review of recent research into the subject, and several examples of collapse models are investigated in detail. It will be of interest to graduate students and academic researchers in gravitation physics, fundamental physics, astrophysics, and cosmology.

This book investigates the propagation of waves in the presence of black holes. The authors emphasise intuitive physical thinking in their treatment of the techniques of analysis of scattering, but alternate this with chapters on the rigourous mathematical development of the subject.

In this text, Cartier and DeWitt-Morette, using their complementary interests and expertise, successfully condense and apply the essentials of Functional Integration to a great variety of systems, showing this mathematically elusive technique to be a robust, user friendly and multipurpose tool.

An overview of the computational framework in which calculations of relativistic hydrodynamics have been developed, this book summarizes the jargon and methods used in the field, providing illustrative applications to real physical systems. A valuable reference for researchers and graduates studying astrophysical hydrodynamics.

A pedagogical overview of the theoretical ideas behind the cosmological constant problem, in particular the scalar-tensor theory, which is one of the most popular alternative theories of gravitation. Covering many developments in the field, including branes and quintessence, it will be an invaluable resource for graduate students and researchers alike.

This book introduces the main examples of topological solitons in classical field theories, discusses the forces between solitons, and surveys both static and dynamic multi-soliton solutions. It covers kinks in one dimension, lumps and vortices in two dimensions, monopoles and Skyrmions in three dimensions, and instantons in four dimensions.

A comprehensive and coherent account of the theory of quantum fields on a lattice. It includes chapters on scalar fields, gauge fields and fermion fields, quarks and gluons in QCD and fermions and bosons in the electroweak theory and numerical simulation algorithms.

This book describes the theory of semi simple and affine Lie algebras, and of quantum groups. Various applications of these theories to two-dimensional conformal field theories are presented. In particular, the link between affine Lie algebras and quantum groups arising in this context is described.

Just as ordinary symmetries relate various forms of matter to each other, and various basic forces to each other, so the novel concept of supersymmetry relates (Fermi) matter to (Bose) force. This book provides a brief introductory description of the new physical and mathematical ideas involved in formulating supersymmetric theories.

This 1996 book is an introduction to integrability and conformal field theory in two dimensions using quantum groups. It covers S-matrices, spin chains, vertex models, Yang-Baxter algebras, the Bethe ansatz, quantum groups, integrable models, two-dimensional conformal field theories and superconformal field theories. Many diagrams and exercises are included.

Liquid metals remain of both fundamental and technological interest and the concepts needed to understand their properties are set out in this book, starting from a survey of the basic experimental facts to be explained.

Providing a self-contained introduction to applications of loop representations and knot theory in particle physics and quantum gravity, this text reviews loop representation theory, Maxwell theory, Yang-Mills theories, lattice techniques, knot and braid theory, and describes applications in quantum gravity. A final chapter considers future prospects.

The interacting boson model was introduced in 1974 as an attempt to describe collective properties of nuclei in a unified way. Since 1974, the model has been the subject of many investigations and it has been extended to cover most aspects of nuclear structure. This book gives an account of the properties of the interacting boson model.

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).

This graduate/research level text describes in a unified fashion the statistical mechanics of random walks, random surfaces and random higher dimensional manifolds with an emphasis on the geometrical aspects of the theory and applications to the quantisation of strings, gravity and topological field theory.

This text describes the gravitational interactions and evolution of astronomical systems on all scales, from small groups of stars through galaxies and clusters of galaxies to the Universe itself. It is written to bring out the physical content behind the mathematical formulae, and contains a number of exercises and suggestions for research topics.

A comprehensive and coherent introduction to modern quantum cosmology - the study of the universe as a whole according to the laws of quantum mechanics. Ample introductory material is included to ensure it is well suited as a graduate text. Researchers in theoretical and mathematical physics, applied maths and cosmology will also find it of immediate interest.

This 2001 book gives a self-contained exposition of the theory of gravitational solitons and provide a comprehensive review of exact soliton solutions to Einstein's equations. A valuable reference for researchers and graduate students.