<p><P>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 prob
Quantum field theory and noncommutative geometry
โ Scribed by Carow-Watamura, Ursula; Maeda, Yoshiaki; Watamura, Satoshi (eds.)
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Leaves
- 308
- Series
- Springer Lecture notes in physics 662
- Edition
- 662th ed
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
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 ย Read more...
Abstract: 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 maki
โฆ Subjects
Mathematical physics.
๐ SIMILAR VOLUMES
This book is devoted to the subject of quantum field theory. It is divided into two volumes. The first can serve as a textbook on the main techniques and results of quantum field theory, while the second treats more recent developments, in particular the subject of quantum groups and noncommutative
The unifying theme of this book is the interplay among noncommutative geometry, physics, and number theory. The two main objects of investigation are spaces where both the noncommutative and the motivic aspects come to play a role: space-time, where the guiding principle is the problem of developing