The Wilson exact renormalization group equation and the anomalous dimension parameter

The non-linear way the anomalous dimension parameter has been introduced in the historic first version of the exact renormalization group equation is compared to current practice. A simple expression for the exactly marginal redundant operator proceeds from this non-linearity, whereas in the linear...

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Bibliographic Details
Date:2013
Main Author: Bervillier, C.
Format: Article
Language:English
Published: Інститут фізики конденсованих систем НАН України 2013
Series:Condensed Matter Physics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/120810
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The Wilson exact renormalization group equation and the anomalous dimension parameter / C. Bervillier // Condensed Matter Physics. — 2013. — Т. 16, № 2. — С. 23003:1-10. — Бібліогр.: 41 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:The non-linear way the anomalous dimension parameter has been introduced in the historic first version of the exact renormalization group equation is compared to current practice. A simple expression for the exactly marginal redundant operator proceeds from this non-linearity, whereas in the linear case, first order differential equations must be solved to get it. The role of this operator in the construction of the flow equation is highlighted.