Hierarchical renormalization goup fixed points
classification
✦ hep-lat
keywords
equationsfixedhierarchicalpointsrenormalizationalgebraicalgebrasdimensions
read the original abstract
Hierarchical renormalization group transformations are related to non-associative algebras. Non-trivial infrared fixed points are shown to be solutions of polynomial equations. At the example of a scalar model in $d(\ge2)$ dimensions some methods for the solution of these algebraic equations are presented.
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