Abstract
We study the ultraviolet stability problem for the two-dimensional Yukawa interaction λε:cosαϕξ:dξ in the region\(4\pi< \alpha ^2< \bar \alpha ^2 \), where\(6\pi< \bar \alpha ^2< 8\pi \). The results have a natural Coulomb gas interpretation, because the counterterms do not depend on the field.
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Communicated by K. Osterwalder
Partially supported by C.N.R.S. trough the University of Paris VI
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Benfatto, G., Gallavotti, G. & Nicolò, F. On the massive sine-Gordon equation in the first few regions of collapse. Commun.Math. Phys. 83, 387–410 (1982). https://doi.org/10.1007/BF01213609
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DOI: https://doi.org/10.1007/BF01213609