Quantum Field Theory and Noncommutative Geometry

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 necessitates extension of these methods to geometries with minimum length and therefore quantization of space. This volume builds on the lectures and talks that have been given at a recent meeting on "Quantum Field Theory and Noncommutative Geometry." A considerable effort has been invested in making the contributions accessible to a wider community of readers - so this volume will not only benefit researchers in the field but also postgraduate students and scientists from related areas wishing to become better acquainted with this field.

List of contents

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

Summary

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 necessitates extension of these methods to geometries with minimum length and therefore quantization of space. This volume builds on the lectures and talks that have been given at a recent meeting on "Quantum Field Theory and Noncommutative Geometry." A considerable effort has been invested in making the contributions accessible to a wider community of readers - so this volume will not only benefit researchers in the field but also postgraduate students and scientists from related areas wishing to become better acquainted with this field.

Product details

• Assisted by: Ursula Carow-Watamura (Editor), Yoshiak Maeda (Editor), Yoshiaki Maeda (Editor), Satoshi Watamura (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 06.10.2010
• EAN: 9783642062872
• ISBN: 978-3-642-06287-2
• No. of pages: 298
• Dimensions: 155 mm x 16 mm x 235 mm
• Weight: 470 g
• Illustrations: X, 298 p.
• Series: Lecture Notes in Physics; Lecture Notes in Physics
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics; C, Physics, Differential Geometry, Quantum physics (quantum mechanics & quantum field theory), Physics and Astronomy, Quantum field theory, Elementary particles (Physics), Elementary Particles, Quantum Field Theory, Topological Groups, Lie Groups, Topological groups, Lie groups, Topological Groups and Lie Groups, Groups & group theory, Mathematical Methods in Physics, Algebraic Topology, Differential & Riemannian geometry