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Geometrical Renormalization Groups: Perfect Deconstruction Actions

2003/03/31 by Christopher T. Hill, Hill, Christopher T.
Engineering · Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Deconstruction (building) #Engineering #FOS: Physical sciences #Geometric Analysis and Curvature Flows #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Mathematical physics #Mathematics #Physics #Renormalization #Theoretical physics #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0303267

16 pages, 2 figures

openalex publication_date 2003/03/31 · arxiv created 2003/04/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

By combining two distinct renormalization group transformations, opposing scale transformations, we obtain a composite transformation which does not rescale the system, and drives it to a "geometrical" fixed point, controlling the effective geometry and locality. The latticized (deconstructed) action for an extra-dimensional field theory becomes a ``perfect action,'' with a linear ladder spectrum for N KK-modes.

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