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Quantum Field Theory and Noncommutative Geometry

Macroscopic physics in noncommutative models. It is expected that quantum gravitational effects at very small length scales lead to drastic modifications to the familiar notation of smooth spacetime. It is not clear, however, what effects this will have on macroscopic physics.


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Models based on noncommutative geometry can be used to study these effects. In noncommutative gauge theory defined via Seiberg-Witten map, which is nowadays widely used to develop noncommutative particle phenomenology models, the study of similar effects was for a long time impossible due to the expansion method used to construct these models.


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About this book 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. Show all. Show next xx. Read this book on SpringerLink.