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...

Spanning a period of almost forty years and crossing four continents, "The Boundary Project" reveals the workings of a top secret organization within the U.S. Department of State and the Central Intelligence Agency, and examines the lives of some of the people caught up in its web. This is a story of individuals, of the power of ideas, of passion, of fear, and of terror. It is also a story of conspiracy and attempts to co-opt an entire citizenry by capitalizing on the fear terror brings. As suicide bombings sweep across the U.S., Robert Hester and his wife Thi Minh come to understand how...

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...