Description: Geometric and Topological Methods for Quantum Field Theory Proceedings of the 2009 Villa de Leyva Summer School A unique presentation of modern geometric methods in quantum field theory for researchers and graduate students in mathematics and physics. Alexander Cardona (Edited by), Iván Contreras (Edited by), Andrés F. Reyes-Lega (Edited by) 9781107026834 (SKU 3087754), Cambridge University Press Hardback, published 9 May 2013 392 pages 25.2 x 17.8 x 2.4 cm, 0.85 kg '… a valuable guide for graduate students and researchers in physics and mathematics …' CERN Courier 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. 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 García 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. Subject Areas: Mathematical physics [PHU], Physics [PH], Mathematics & science [P]
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BIC Subject Area 1: Mathematical physics [PHU]
BIC Subject Area 2: Physics [PH]
BIC Subject Area 3: Mathematics & science [P]
Item Height: 252mm
Item Width: 178mm
Author: Ivan Contreras, Alexander Cardona, Andres F. Reyes-Lega
Publication Name: Geometric and Topological Methods for Quantum Field Theory: Proceedings of the 2009 Villa de Leyva Summer School
Format: Hardcover
Language: English
Publisher: Cambridge University Press
Subject: Mathematics, Physics
Publication Year: 2013
Type: Textbook
Item Weight: 850g
Number of Pages: 392 Pages
