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Large field renormalization. I. The basic step of the ℝ operation

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Abstract

We construct the renormalization operation of the expressions connected with the large field regions. This operation, denoted by ℝ, removes the main obstacle to prove the ultraviolet stability of four-dimensional gauge field theories. The proof will be completed in the second part of this paper.

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References

  1. Balaban, T.: Renormalization group approach to lattice gauge field theories. I. Commun. Math. Phys.109, 249–301 (1987)

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  2. Balaban, T.: Renormalization group approach to lattice gauge theories: II. Cluster Expansions. Commun. Math. Phys.116, 1–22 (1988)

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  3. Balaban, T.: Convergent renormalization expansions for lattice gauge theories. Commun. Math. Phys.119, 243–285 (1988)

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Authors and Affiliations

  1. Department of Mathematics, Boston University, 02215, Boston, MA, USA

    Tadeusz Balaban

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  1. Tadeusz Balaban
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Communicated by A. Jaffe

Research supported in part by the National Science Foundation under Grant DMS-86 02207

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Balaban, T. Large field renormalization. I. The basic step of the ℝ operation. Commun.Math. Phys. 122, 175–202 (1989). https://doi.org/10.1007/BF01257412

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  • DOI: https://doi.org/10.1007/BF01257412

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