TL;DR
This paper introduces an axiomatic framework for rational massless renormalization group flow using the concept of Kan extension, providing a formal mathematical foundation.
Contribution
It presents a novel axiomatization of RG flow as a Kan extension, offering a new theoretical perspective.
Findings
Formalizes RG flow as Kan extension
Provides a rigorous mathematical foundation
Bridges physics and category theory
Abstract
We axiomatize rational massless renormalization group flow as Kan extension.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Topological and Geometric Data Analysis · Advanced Topology and Set Theory