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The Wilson exact renormalization group equation and the anomalous dimension parameter

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-00864317
Contributor : Claude Bervillier <>
Submitted on : Friday, September 20, 2013 - 6:15:41 PM
Last modification on : Thursday, March 5, 2020 - 5:33:27 PM

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C. Bervillier. The Wilson exact renormalization group equation and the anomalous dimension parameter. Condensed Matter Physics, Institute for Condensed Matter Physics, 2013, 16 (2), pp.23003. ⟨10.5488/CMP.16.23003⟩. ⟨hal-00864317⟩

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