Functional Integration by Cecile Dewittmorette
Functional integration successfully entered physics as path integrals in the 1942 PhD dissertation of Richard P. Feynman, but it made no sense at all as a mathematical definition. Cartier and DeWitt-Morette have created, in this book, a fresh approach to functional integration. The book is self-contained: mathematical ideas are introduced, developed, generalised and applied. In the authors' hands, functional integration is shown to be a robust, user-friendly and multi-purpose tool that can be applied to a great variety of situations, for example: systems of indistinguishable particles; Aharonov-Bohm systems; supersymmetry; non-gaussian integrals. Problems in quantum field theory are also considered. In the final part the authors outline topics that can be profitably pursued using material already presented.-
The Large Scale Structure of Space-Time
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Structures in the Universe by Exact Methods
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String Theory: Volume 2, Superstring Theory and Beyond
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String Theory
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Hamiltonian Systems
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Quantum Gravity
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Superstring Theory: Volume 2, Loop Amplitudes, Anomalies and Phenomenology
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Advanced General Relativity
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Bethe Ansatz
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Extensions of f(R) Gravity
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Methods of Contemporary Gauge Theory
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The Structure of the Proton
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Finite-Temperature Field Theory
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Moonshine beyond the Monster
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An Introduction to Regge Theory and High Energy Physics
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D-Branes
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Nonequilibrium Quantum Field Theory
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Classical Covariant Fields
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The Theory and Applications of Instanton Calculations
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Loops, Knots, Gauge Theories and Quantum Gravity
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Classical Solutions in Quantum Field Theory
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Mathematics of Quantization and Quantum Fields
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Principles of Discrete Time Mechanics
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The Scalar-Tensor Theory of Gravitation
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Quantum Groups in Two-Dimensional Physics
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Gravitational Solitons
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The Theory of Complex Angular Momenta
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Hamiltonian Mechanics of Gauge Systems
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Topological and Non-Topological Solitons in Scalar Field Theories
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Gravitational Collapse and Spacetime Singularities
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The Schwinger Action Principle and Effective Action
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Exact Solutions in Three-Dimensional Gravity
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Scattering from Black Holes
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Inflation and String Theory
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Mass Dimension One Fermions
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Non-Inertial Frames and Dirac Observables in Relativity
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Exact Space-Times in Einstein's General Relativity
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Semi-Classical Methods for Nucleus-Nucleus Scattering
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Hadrons at Finite Temperature
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Models of High Energy Processes
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Quantum Geometry
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Rotating Relativistic Stars
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Gauge Theories of Weak Interactions
Review of the hardback: '…will be helpful for those mathematicians who are interested in physical applications of the general theory of measure (theory of integrals) and for the physicists who are interested in mathematically rigorous formulations of complicated problems in quantum physics' Zentralblatt MATH
Review of the hardback: '…for someone who is interested in the mathematical foundations or merely curious to see some of the deep insight of two true experts, Cartier and DeWitt-Morette's book is well worth reading.' Physics Today
Review of the hardback: '…for someone who is interested in the mathematical foundations or merely curious to see some of the deep insight of two true experts, Cartier and DeWitt-Morette's book is well worth reading.' Physics Today
Emeritus Director of Research, Center National de la Recherche Scientifique, France. Member of Societe Francaise de Mathematiques and American Mathematical Society. Jane and Roland Blumberg Centennial Professor in Physics, Emerita, University of Texas at Austin. Member of American and European Physical Societies.
| SKU | Unavailable |
| ISBN 13 | 9780521866965 |
| ISBN 10 | 0521866960 |
| Title | Functional Integration |
| Author | Cecile Dewittmorette |
| Series | Cambridge Monographs On Mathematical Physics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Cambridge University Press |
| Year published | 2006-11-30 |
| Number of pages | 476 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |