Background
Nash, Charles Edward was born on October 22, 1948 in London. Son of John and Anne Cecilia (Osborn) Nash. arrived in Ireland, 1955.
( This text examines the statistical and quantitative tec...)
This text examines the statistical and quantitative techniques for performing calculations in quantum field theory. This first chapter — a survey of renormalization, functional differentiation and integration, and the Schwinger-Dyson equations — occupies about one third of the entire text. Most problems in quantum field theory can be formulated by using the functional methods described in this chapter. Additional topics include dimensional regularization; the gauge and infrared properties of quantum electrodynamics; and asymptotic behavior and renormalization group methods. This text is largely self-contained and suitable for advanced graduate students of mathematical physics. Helpful reference features include an appendix, bibliography, and index.
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(The remarkable developments in differential topology and ...)
The remarkable developments in differential topology and how these recent advances have been applied as a primary research tool in quantum field theory are presented here in a style reflecting the genuinely two-sided interaction between mathematical physics and applied mathematics. The author, following his previous work (Nash/Sen: Differential Topology for Physicists, Academic Press, 1983), covers elliptic differential and pseudo-differential operators, Atiyah-Singer index theory, topological quantum field theory, string theory, and knot theory. The explanatory approach serves to illuminate and clarify these theories for graduate students and research workers entering the field for the first time. • Treats differential geometry, differential topology, and quantum field theory • Includes elliptic differential and pseudo-differential operators, Atiyah-Singer index theory, topological quantum field theory, string theory, and knot theory • Tackles problems of quantum field theory using differential topology as a tool
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( Differential geometry and topology are essential tools ...)
Differential geometry and topology are essential tools for many theoretical physicists, particularly in the study of condensed matter physics, gravity, and particle physics. Written by physicists for physics students, this text introduces geometrical and topological methods in theoretical physics and applied mathematics. It assumes no detailed background in topology or geometry, and it emphasizes physical motivations, enabling students to apply the techniques to their physics formulas and research. "Thoroughly recommended" by The Physics Bulletin, this volume's physics applications range from condensed matter physics and statistical mechanics to elementary particle theory. Its main mathematical topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory.
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Nash, Charles Edward was born on October 22, 1948 in London. Son of John and Anne Cecilia (Osborn) Nash. arrived in Ireland, 1955.
Bachelor in Theoretical Physics, Trinity College, Dublin, Ireland, 1970; Doctor of Philosophy in Theoretical Physics, Christ's College, Cambridge, England, 1973.
Research fellow, Imperial College, London, 1973-1975; research fellow, lecturer, Trinity College, Dublin, 1975-1979; lecturer, St. Patrick's College, Maynooth, Ireland, 1979-1984; senior lecturer, St. Patrick's College, Maynooth, Ireland, since 1984. External examiner Department Mathematics Trinity College, since 1985.
(The remarkable developments in differential topology and ...)
( Differential geometry and topology are essential tools ...)
( This text examines the statistical and quantitative tec...)
Member Dublin Symphony Orchestra. Member International Association Mathematics Physicists, Irish Mathematics Society.
Married Edna Mary Gallagher, February 23, 1974. Children: Elise Anne, Oliver Charles, Mary Carmen, Nicholas Conal.