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Geometric and Topological Methods for Quantum Field Theory
This volume offers an introduction, in the form of four extensive lectures, to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. The first lecture is by Christine Lescop on knot invariants and configuration spaces, in which a univ...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2005.
|
| Edición: | 1st ed. 2005. |
| Colección: | Lecture Notes in Physics,
668 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 024 | 7 | |a 10.1007/b104936 |2 doi | |
| 050 | 4 | |a QC19.2-20.85 | |
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| 245 | 1 | 0 | |a Geometric and Topological Methods for Quantum Field Theory |h [electronic resource] / |c edited by Hernan Ocampo, Sylvie Paycha, Andrés Vargas. |
| 250 | |a 1st ed. 2005. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2005. | |
| 300 | |a XV, 230 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Lecture Notes in Physics, |x 1616-6361 ; |v 668 | |
| 505 | 0 | |a Knot Invariants and Configuration Space Integrals (Christine Lescop) -- Euclidean Quantum Field Theory on Commutative and Noncommutative Spaces (Raimar Wulkenhaar) -- Introduction to String Compactification (Anamaria Font, Stefan Theisen) -- Index Theorems and Noncommutative Topology (Thierry Fack). | |
| 520 | |a This volume offers an introduction, in the form of four extensive lectures, to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. The first lecture is by Christine Lescop on knot invariants and configuration spaces, in which a universal finite-type invariant for knots is constructed as a series of integrals over configuration spaces. This is followed by the contribution of Raimar Wulkenhaar on Euclidean quantum field theory from a statistical point of view. The author also discusses possible renormalization techniques on noncommutative spaces. The third lecture is by Anamaria Font and Stefan Theisen on string compactification with unbroken supersymmetry. The authors show that this requirement leads to internal spaces of special holonomy and describe Calabi-Yau manifolds in detail. The last lecture, by Thierry Fack, is devoted to a K-theory proof of the Atiyah-Singer index theorem and discusses some applications of K-theory to noncommutative geometry. These lectures notes, which are aimed in particular at graduate students in physics and mathematics, start with introductory material before presenting more advanced results. Each chapter is self-contained and can be read independently. | ||
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Elementary particles (Physics). | |
| 650 | 0 | |a Quantum field theory. | |
| 650 | 0 | |a Manifolds (Mathematics). | |
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 1 | 4 | |a Mathematical Methods in Physics. |
| 650 | 2 | 4 | |a Elementary Particles, Quantum Field Theory. |
| 650 | 2 | 4 | |a Manifolds and Cell Complexes. |
| 650 | 2 | 4 | |a Differential Geometry. |
| 700 | 1 | |a Ocampo, Hernan. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 700 | 1 | |a Paycha, Sylvie. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 700 | 1 | |a Vargas, Andrés. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642063510 |
| 776 | 0 | 8 | |i Printed edition: |z 9783540806677 |
| 776 | 0 | 8 | |i Printed edition: |z 9783540242833 |
| 830 | 0 | |a Lecture Notes in Physics, |x 1616-6361 ; |v 668 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/b104936 |z Texto Completo |
| 912 | |a ZDB-2-PHA | ||
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| 950 | |a Physics and Astronomy (SpringerNature-11651) | ||
| 950 | |a Physics and Astronomy (R0) (SpringerNature-43715) | ||