A Perspective on Regularization and Curvature

Susama Agarwala

A Perspective on Regularization and Curvature

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arxiv 0909.4117 v2 pith:YK7ZPDA7 submitted 2009-09-23 math-ph math.MP

Susama Agarwala This is my paper · ORCID

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keywords betafunctionsregularizationbundleclassconnectionconnescurvature

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abstract

A global connection on the Connes Marcolli renormalization bundle relates $\beta$-functions of a class of regularization schemes by gauge transformations, as well as local solutions to $\beta$-functions over curved space-time.

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Some very low-dimensional algebraic topology
math.AT 2024-11 unverdicted novelty 4.0 of 10

Proposes that the group completion of planar configuration spaces, equivalent to ΩS^2, is a moduli space whose Jordan-curve states encode renormalized Feynman integrals as residues.

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