Geometric and Topological Methods for Quantum Field Theory
Geometric and Topological Methods for Quantum Field Theory
Iván Contreras, Universität Zürich
Andrés F. Reyes-Lega, Universidad de los Andes, Colombia
Based on lectures given at the renowned Villa de Leyva summer school, this book provides a unique presentation of modern geometric methods in quantum field theory. Written by experts, it enables readers to enter some of the most fascinating research topics in this subject. Covering a series of topics on geometry, topology, algebra, number theory methods and their applications to quantum field theory, the book covers topics such as Dirac structures, holomorphic bundles and stability, Feynman integrals, geometric aspects of quantum field theory and the standard model, spectral and Riemannian geometry and index theory. This is a valuable guide for graduate students and researchers in physics and mathematics wanting to enter this interesting research field at the borderline between mathematics and physics.
- Provides a unique exposition of geometric and topological methods relevant to developments in theoretical physics
- Each chapter is written by an expert on the topic and includes exercises and suggestions for further reading
- Based on lecture notes from courses delivered at the sixth Villa de Leyva summer school on 'Geometric and Topological Methods for Quantum Field Theory'
Reviews & endorsements
'… a valuable guide for graduate students and researchers in physics and mathematics …' CERN Courier
Product details
No date availableAdobe eBook Reader
9781107352698
0 pages
0kg
30 b/w illus. 41 exercises
Table of Contents
- Introduction
- 1. A brief introduction to Dirac manifolds Henrique Bursztyn
- 2. Differential geometry of holomorphic vector bundles on a curve Florent Schaffhauser
- 3. Paths towards an extension of Chern–Weil calculus to a class of infinite dimensional vector bundles Sylvie Paycha
- 4. Introduction to Feynman integrals Stefan Weinzierl
- 5. Iterated integrals in quantum field theory Francis Brown
- 6. Geometric issues in quantum field theory and string theory Luis J. Boya
- 7. Geometric aspects of the standard model and the mysteries of matter Florian Scheck
- 8. Absence of singular continuous spectrum for some geometric Laplacians Leonardo A. Cano GarcÃa
- 9. Models for formal groupoids Iván Contreras
- 10. Elliptic PDEs and smoothness of weakly Einstein metrics of Hölder regularity Andrés Vargas
- 11. Regularized traces and the index formula for manifolds with boundary Alexander Cardona and César Del Corral
- Index.
