A differential-geometry approach to operator mixing in massless QCD-like theories and Poincaré-Dulac theorem

We review recent progress on operator mixing in the light of the theory of canonical forms for linear systems of differential equations and, in particular, of the Poincar\'e-Dulac theorem. We show that the matrix $A(g) = -\frac{\gamma(g)}{\beta(g)} =\frac{\gamma_0}{\beta_0}\frac{1}{g} + \cdo...

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Bibliographic Details
Main Author: Matteo Becchetti
Format: Article
Language:English
Published: SciPost 2022-06-01
Series:SciPost Physics Proceedings
Online Access:https://scipost.org/SciPostPhysProc.7.032