In modern mathematical physics, classical together with quantum, geometrical and functional analytic methods are used simultaneously. Non-commutative geometry in particular is becoming a useful tool in quantum field theories. This book, aimed at advanced students and researchers, provides an introduction to these ideas. Researchers will benefit particularly from the extensive survey articles on models relating to quantum gravity, string theory, and non-commutative geometry, as well as Connes' approach to the standard model.
The contributions of J. Baez and of D. Kastler will certainly have an impact on future developments in quantum field theory and can be used for seminar work for advanced students Includes supplementary material: sn.pub/extras
H. Gausterer
Algebraic Quantum Field Theory Minkowski space Non-Commutative Geometry Particle Physics Quantum Gravity Quantum Hall Effect String Theory mathematical physics