Differential Topology and Quantum Field Theory
| Author | : | |
| Rating | : | 4.42 (601 Votes) |
| Asin | : | 0125140762 |
| Format Type | : | paperback |
| Number of Pages | : | 386 Pages |
| Publish Date | : | 2016-09-11 |
| Language | : | English |
DESCRIPTION:
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. Key Features* 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
Fair treatment This book is written for the theoretical physicist in mind. It is somewhat out-of-date, as there have been many developments in differential topology, such as the Seiberg-Witten theory, since this book was published. However, it might still serve the reader with an introduction to these latter developments. Being just a summary there are no proofs given, and this might annoy the mathematician, but it. A mathematician with a physics background This book has a huge amount of mathematics packed inside it. It covers most of the math needed for understanding string theory, but because of its scope very few of the theorems are proved. I have found it very helpful as an overview.
The author, following on from his previous work (Nash/Sen: Differential Topology for Physicists, Academic Press, 1983), covers ellipitc differential and pseudo-differential operators, Atiyah-singer Index theory, Morse theory, instanntons and monopoles, 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. . From the Back Cover The remarkable developments in diferential topology and how these recent advances have been applied as a primary research tool on quantum field theory