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Removal of UV Cutoff for the Nelson Model with Variable Coefficients

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Abstract

We consider the Nelson model with variable coefficients. Nelson models with variable coefficients arise when one replaces in the usual Nelson model the flat Minkowski metric by a static metric, allowing also the boson mass to depend on position. We study the removal of the ultraviolet cutoff.

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Authors and Affiliations

  1. Département de Mathématiques, Université de Paris XI, 91405, Orsay Cedex, France

    Christian Gérard

  2. Faculty of Mathematics, University of Kyushu, 6-10-1, Hakozaki, Fukuoka, 812-8581, Japan

    Fumio Hiroshima

  3. UMR6207 Université Toulon-Var, 83957, La Garde Cedex, France

    Annalisa Panati

  4. Department of Mathematics, Faculty of Engineering, Shinshu University, 4-17-1 Wakasato, Nagano, 380-8553, Japan

    Akito Suzuki

Authors
  1. Christian Gérard
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  2. Fumio Hiroshima
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  3. Annalisa Panati
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  4. Akito Suzuki
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Correspondence to Fumio Hiroshima.

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Gérard, C., Hiroshima, F., Panati, A. et al. Removal of UV Cutoff for the Nelson Model with Variable Coefficients. Lett Math Phys 101, 305–322 (2012). https://doi.org/10.1007/s11005-012-0577-2

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  • DOI: https://doi.org/10.1007/s11005-012-0577-2

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