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Book synopsis

In the framework of studying noncommutative gauge field theory a model with an additional oscillator-like term in the action is discussed, which already like Grosse and Wulkenhaar showed is renormalizable to all orders in the case of a scalar phi^4 model. To be able to write down the propagator of such models one needs roughly speaking the inverse of the operator p^2+x^2. This is the Mehler kernel, which will be discussed in this diploma thesis. Not only a full derivation and different properties of the latter will be given, but also explicitly some loop calculations in a special model where the Mehler kernel is needed will be executed.

Book details

Book category Books in English Mathematics & science Physics

• Full title: Mehler Kernel
• Author: Erwin Kronberger
• Language: English
• Binding: Paperback
• Number of pages: 96
• EAN: 9783639241198
• ISBN: 3639241193
• ID: 06831768
• Publisher: VDM Verlag
• Weight: 150 g
• Dimensions: 229 × 152 × 6 mm
• Date of publishing: 23. March 2010

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