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.

10 pages

Cited by in corpus (5)

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• Physical renormalization schemes and asymptotic safety in quantum gravity
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• Revisiting the local potential approximation of the exact renormalization group equation
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