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Averaging operations for lattice gauge theories

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Abstract

Usually renormalization group transformations are defined by some averaging operations. In this paper we study such operations for lattice gauge fields and for gauge transformations. We are interested especially in characterizing some classes of field configurations on which the averaging operations are regular (e.g., analytic). These results will be used in subsequent papers on the renormalization group method in lattice gauge theories.

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Authors and Affiliations

  1. Department of Physics, Harvard University, 02138, Cambridge, MA, USA

    T. Bałaban

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  1. T. Bałaban
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Communicated by A. Jaffe

Research supported in part by the National Science Foundation under Grant PHY-82-03669

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Bałaban, T. Averaging operations for lattice gauge theories. Commun.Math. Phys. 98, 17–51 (1985). https://doi.org/10.1007/BF01211042

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  • DOI: https://doi.org/10.1007/BF01211042

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