Differential Topology and Quantum Field Theory
Seiten
1991
Elsevier Science Publishing Co Inc (Verlag)
978-0-12-514075-1 (ISBN)
Elsevier Science Publishing Co Inc (Verlag)
978-0-12-514075-1 (ISBN)
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Tackles problems of quantum field theory using differential topology as a tool. Topics discussed include elliptic differential and pseudo-differential operators, Atiyah-Singer index theory, topological quantum field theory, string theory, and knot theory.
A book intended for graduate students and research workers in theoretical physics, high energy physics, particularly quantum field theorists in mathematics doing differential geometry or topology and for thoretical physicists in statistical mechanics or solid state theory. 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 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.
A book intended for graduate students and research workers in theoretical physics, high energy physics, particularly quantum field theorists in mathematics doing differential geometry or topology and for thoretical physicists in statistical mechanics or solid state theory. 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 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.
A topological preliminary; elliptic operators; cohomology of sheaves and bundles; index theory for elliptic operators; some algebraic geometry; infinite dimensional groups; morse theory; instantons and monopoles; the elliptic geometry of strings; anomalies; conformal quantum field theories; topological quantum field theories.
| Zusatzinfo | references |
|---|---|
| Sprache | englisch |
| Maße | 152 x 229 mm |
| Gewicht | 618 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Naturwissenschaften ► Physik / Astronomie ► Quantenphysik | |
| ISBN-10 | 0-12-514075-4 / 0125140754 |
| ISBN-13 | 978-0-12-514075-1 / 9780125140751 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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