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A rigorous control of logarithmic corrections in four-dimensional ϕ4 spin systems

I. Trajectory of effective Hamiltonians

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Abstract

Using Gawedzki and Kupiainen's rigorous block spin transformation method, we study critical phenomena in ϕ4 spin systems in four dimensions. In Part I of this work we investigate in detail the renormalization group trajectory of the system not exactly at the critical point.

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Author notes

  1. Takashi Hara

    Present address: Courant Institute of Mathematical Sciences, New York University, 10012, New York, New York

Authors and Affiliations

  1. Institute of Physics, College of Arts and Sciences, Universty of Tokyo, Komaba, Meguro-ku, 153, Tokyo, Japan

    Takashi Hara

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  1. Takashi Hara
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Hara, T. A rigorous control of logarithmic corrections in four-dimensional ϕ4 spin systems. J Stat Phys 47, 57–98 (1987). https://doi.org/10.1007/BF01009035

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  • DOI: https://doi.org/10.1007/BF01009035

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