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.

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Yes, you can access Geometric and Topological Methods for Quantum Field Theory by Alexander Cardona,Iván Contreras,Andrés F. Reyes-Lega in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mathematical & Computational Physics. We have over one million books available in our catalogue for you to explore.

Information

Publisher

Cambridge University Press

Year

2013

ISBN

9781107352698

Topic

Physical Sciences

Subtopic

Mathematical & Computational Physics

Contents
Contributors
Introduction
1 A brief introduction to Dirac manifolds
2 Differential geometry of holomorphic vector bundles on a curve
3 Paths towards an extension of Chern-Weil calculus to a class of infinite dimensional vector bundles
4 Introduction to Feynman integrals
5 Iterated integrals in quantum field theory
6 Geometric issues in quantum field theory and string theory
7 Geometric aspects of the Standard Model and the mysteries of matter
8 Absence of singular continuous spectrum for some geometric Laplacians
9 Models for formal groupoids
10 Elliptic PDEs and weakly Einstein metrics
11 Regularized traces and the index formula for manifolds with boundary
Index