{"product_id":"the-mehler-kernel-3639241193","title":"The Mehler Kernel","description":"\u003cp\u003e\u003cstrong\u003eISBN:\u003c\/strong\u003e 3639241193\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAuthor:\u003c\/strong\u003e Kronberger, Erwin\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eCondition:\u003c\/strong\u003e New\u003c\/p\u003e\u003cp\u003eIn 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.\u003c\/p\u003e","brand":"Mia Karts","offers":[{"title":"Default Title","offer_id":68086220882208,"sku":"NEW3639241193","price":79.2,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0980\/7426\/3840\/files\/71Ic04xh3HS.jpg?v=1793575558","url":"https:\/\/miakarts.com\/products\/the-mehler-kernel-3639241193","provider":"Miakarts Books","version":"1.0","type":"link"}