Abstract
We prove that the renormalization program discussed in [1] can also be developed beyond the\(\bar \alpha ^2 = 2\pi (\sqrt {17} - 1)\) threshold found in the preceding work. This result, as a byproduct, also allows a simplification in the technical part of the proof of ultraviolet stability in the ϕ 43 -theory [2]. In the last section of this work we discuss, heuristically, but in some detail the interpretation of the sine-Gordon theory as a two-dimensional Yukawa gas for βe 2=α2>4π.
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Communicated by K. Osterwalder
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Nicolò, F. On the massive sine-Gordon equation in the higher regions of collapse. Commun.Math. Phys. 88, 581–600 (1983). https://doi.org/10.1007/BF01211960
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DOI: https://doi.org/10.1007/BF01211960