The Mehler Kernel » książka
The Mehler Kernel
ISBN-13: 9783639241198 / Angielski / Miękka / 2010 / 96 str.
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 DEGREES4 model. To be able to write down the propagator of such models one needs roughly speaking the inverse of the operator p DEGREES2+x DEGREES2. 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.
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.
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