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On the massive sine-Gordon equation in the first few regions of collapse
Authors:G Benfatto  G Gallavotti  F Nicolò
Institution:(1) Istituto di Matematica dell'Università di Roma, I-00100 Roma, Italy;(2) Istituto Nazionale di Fisica Nucleare — Sezione di Roma, I-00100 Roma, Italy
Abstract:We study the ultraviolet stability problem for the two-dimensional Yukawa interaction lambdaepsi:cosagrphivxgr:dxgr 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.Partially supported by C.N.R.S. trough the University of Paris VI
Keywords:
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