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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Ocampo, Hernán (Επιμελητής έκδοσης), Paycha, Sylvie (Επιμελητής έκδοσης), Vargas, Andrés (Επιμελητής έκδοσης)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
Σειρά:Lecture Notes in Physics, 668
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Geometric and Topological Methods for Quantum Field Theory  |h [electronic resource] /  |c edited by Hernán Ocampo, Sylvie Paycha, Andrés Vargas. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg,  |c 2005. 
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490 1 |a Lecture Notes in Physics,  |x 0075-8450 ;  |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 Physics. 
650 0 |a Differential geometry. 
650 0 |a Manifolds (Mathematics). 
650 0 |a Complex manifolds. 
650 0 |a Quantum field theory. 
650 0 |a String theory. 
650 0 |a Elementary particles (Physics). 
650 1 4 |a Physics. 
650 2 4 |a Mathematical Methods in Physics. 
650 2 4 |a Quantum Field Theories, String Theory. 
650 2 4 |a Elementary Particles, Quantum Field Theory. 
650 2 4 |a Manifolds and Cell Complexes (incl. Diff.Topology). 
650 2 4 |a Differential Geometry. 
700 1 |a Ocampo, Hernán.  |e editor. 
700 1 |a Paycha, Sylvie.  |e editor. 
700 1 |a Vargas, Andrés.  |e editor. 
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776 0 8 |i Printed edition:  |z 9783540242833 
830 0 |a Lecture Notes in Physics,  |x 0075-8450 ;  |v 668 
856 4 0 |u http://dx.doi.org/10.1007/b104936  |z Full Text via HEAL-Link 
912 |a ZDB-2-PHA 
912 |a ZDB-2-LNP 
950 |a Physics and Astronomy (Springer-11651)