Quantum Field Theory and Noncommutative Geometry

• Corporate Author: SpringerLink (Online service)
• Other Authors: Carow-Watamura, Ursula (Editor), Maeda, Yoshiaki (Editor), Watamura, Satoshi (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Series: Lecture Notes in Physics, 662
• Subjects: Physics.; Topological groups.; Lie groups.; Differential geometry.; Algebraic topology.; Elementary particles (Physics).; Quantum field theory.; Mathematical Methods in Physics.; Topological Groups, Lie Groups.; Algebraic Topology.; Differential Geometry.; Elementary Particles, Quantum Field Theory.

This volume reflects the growing collaboration between mathematicians and theoretical physicists to treat the foundations of quantum field theory using the mathematical tools of q-deformed algebras and noncommutative differential geometry. A particular challenge is posed by gravity, which probably n...

Table of Contents:

• Noncommutative Geometry
• Poisson Geometry and Deformation Quantization
• Applications in Physics
• Topological Quantum Field Theory.