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Renormalization group flow of a hierarchical Sine-Gordon model by partial differential equations

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Abstract

We use a renormalization group differential equation to rigorously control the renormalization group flow in a hierarchical lattice Sine-Gordon field theory in the Kosterlitz-Thouless phase.

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Authors and Affiliations

  1. Institut für Theoretische Physik, ETH-Hönggerberg, CH-8093, Zürich, Switzerland

    Thomas Kappeler & Christian Wieczerkowski

  2. Department of Mathematics, Brown University, 02912, Providence, Rhode Island, USA

    Thomas Kappeler

  3. II. Institut für Theoretische Physik, Universität Hamburg, W-2000, Hamburg, Federal Republic of Germany

    Klaus Pinn

Authors
  1. Thomas Kappeler
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  2. Klaus Pinn
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  3. Christian Wieczerkowski
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Additional information

Communicated by A. Jaffe

Supported in part by the Department of Energy under Grant DE-FG02-88ER25065

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Kappeler, T., Pinn, K. & Wieczerkowski, C. Renormalization group flow of a hierarchical Sine-Gordon model by partial differential equations. Commun.Math. Phys. 136, 357–368 (1991). https://doi.org/10.1007/BF02100030

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  • DOI: https://doi.org/10.1007/BF02100030

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