A proposal of a Renormalization Group transformation
L.A. Fernandez, A. Munoz Sudupe, J.J. Ruiz-Lorenzo, A. Tarancon
TL;DR
This paper introduces a flexible family of renormalization group transformations with tunable parameters, tested on the 3D XY model using Schwinger-Dyson equations to analyze the flow.
Contribution
It presents a novel set of RG transformations with adjustable parameters to minimize truncation effects, validated on a complex statistical model.
Findings
Transformations reduce truncation errors effectively.
Flow analysis reveals improved accuracy in critical behavior.
Method demonstrates potential for broader applications.
Abstract
We propose a family of renormalization group transformations characterized by free parameters that may be tuned in order to reduce the truncation effects. As a check we test them in the three dimensional XY model. The Schwinger--Dyson equations are used to study the renormalization group flow.
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