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Convergence of Migdal-Kadanoff iterations: A simple and general proof

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Abstract

A short proof is presented showing convergence of Migdal-Kadanoff iterations for a large class of functions on compact connected Lie groups. From our estimate of the rate of convergence, we deduce lower bounds for string tension and mass gap in hierarchical four-dimensional lattice gauge and twodimensional spin models.

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Authors and Affiliations

  1. Fachbereich Physik, Universität Kaiserslautern, D-6750, Kaiserslautern, Germany

    V. F. Müller & J. Schiemann

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  1. V. F. Müller
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  2. J. Schiemann
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Müller, V.F., Schiemann, J. Convergence of Migdal-Kadanoff iterations: A simple and general proof. Lett Math Phys 15, 289–295 (1988). https://doi.org/10.1007/BF00419586

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  • DOI: https://doi.org/10.1007/BF00419586

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