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Massless lattice φ 44 theory: Rigorous control of a renormalizable asymptotically free model

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Abstract

Using block spin renormalization group techniques, we rigorously control the functional integral of a weakly coupled critical latticeφ 4 theory in four euclidean dimensions proving the infrared asymptotic freedom of the model. This solves the infrared counterpart of and sheds some light on the problem of existence of continuum renormalizable ultraviolet asymptotically free models.

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Authors and Affiliations

  1. C.N.R.S., I.H.E.S., F-91440, Bures-sur-Yvette, France

    K. Gawedzki

  2. Research Institute for Theoretical Physics, Helsinki University, Helsinki 17, Finland

    A. Kupiainen

Authors
  1. K. Gawedzki
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  2. A. Kupiainen
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Additional information

Communicated by A. Jaffe

On leave from the Department of Mathematical Methods of Physics, University, Warsaw, Poland

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Gawedzki, K., Kupiainen, A. Massless lattice φ 44 theory: Rigorous control of a renormalizable asymptotically free model. Commun.Math. Phys. 99, 197–252 (1985). https://doi.org/10.1007/BF01212281

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  • DOI: https://doi.org/10.1007/BF01212281

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