40 Years In Mathematical Physics

Download or read book 40 Years in Mathematical Physics written by L D Faddeev and published by World Scientific. This book was released on 1995-10-09 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of Prof L D Faddeev's important lectures, papers and talks. Some of these have not been published before and some have, for the first time, been translated from Russian into English. The topics covered correspond to several distinctive and pioneering contributions of Prof Faddeev to modern mathematical physics: quantization of YangߝMills and Einstein gravitational fields, soliton theory, the many-dimensional inverse problem in potential scattering, the Hamiltonian approach to anomalies, and the theory of quantum integrable models. There are also two papers on more general aspects of the interrelations between physics and mathematics as well as an autobiographical essay. Contents:Perturbation Theory for Gauge-Invariant FieldsThe Feynman Integral for Singular LagrangiansCovariant Quantization of the Gravitational FieldQuantum Completely Integrable Models in Field TheoryFrom Integrable Models to Conformal Field Theory via Quantum GroupsHamiltonian Approach to the Theory of AnomaliesThe Energy Problem in Einstein's Theory of GravitationLagrangian Mechanics in Invariant FormEinstein and Several Contemporary Tendencies in the Theory of Elementary ParticlesA Mathematician's View of the Development of Physicsand other papers Readership: Mathematical physicists and mathematicians. keywords:Mathematical Physics;Theory of Gravitation “recommended to all interested in modern mathematical physics.” Mathematics Abstracts “I found this collection to be a very interesting one, and although it is not strictly a textbook or a monograph it can be a useful addition to one's library.” Mathematical Reviews