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arxiv: 1505.04765 · v1 · pith:AZZEDJP3new · submitted 2015-05-18 · 🧮 math-ph · math.MP

Hopf algebra and renormalization: A brief review

classification 🧮 math-ph math.MP
keywords algebrahopfrenormalizationmodelreviewachievedarisingbrief
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We briefly review the Hopf algebra structure arising in the renormalization of quantum field theories. We construct the Hopf algebra explicitly for a simple toy model and show how renormalization is achieved for this particular model.

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    An algebraic RG formalism for topological orders uses ideals in fusion rings to encode noninvertible symmetries and condensation rules between anyons.