A homotopy-theoretic context for CKM/Birkhoff renormalization

2023/07/19 by Jack Morava, Morava, Jack
Mathematics · Computer Science · #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #Advanced Topology and Set Theory

paper · pdf · doi:10.48550/arxiv.2307.10148

Abstract

We propose a geometric object slightly subtler than a complex line bundle with connection, a two-sphere fibration with structure group Ω²_e S², to parametrize a space of dimensional regularizations in the metaphysics of renormalization theory. Comments, corrections, advice and suggestions are very welcome. To be continued.

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