On the massive sine-Gordon equation in all regions of collapse |
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| Authors: | F Nicolò J Renn A Steinmann |
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| Institution: | (1) Dipartimento di Mathematica, II Università degli Studi di Roma, Tor Vergata, Via Orazio Raimondo, I-00173 Roma, Italy;(2) Institut für Theorie der Elementarteilchen (WE4), Fachbereich Physik (FB20), Freie Universität Berlin, Arnimallee 14, D-1000 Berlin 33;(3) Eidgenössische Technische Hochschule, Mathematik, ETH-Zentrum, CH-8092 Zürich, Switzerland;(4) Present address: Dipartimento di Matematica, I. Università degli Studi di Roma  La Sapienza , Piazzale Aldo Moro 5, I-00185 Roma, Italy |
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| Abstract: | The ultraviolet stability for the cosine interaction in two dimensions and finite volume  is rederived for values  2  4 , 32/5 and proven for the remaining 2 4, 8 by using renormalization group methods developed in G, GN1] to portray renormalized effective potentials arising from a multiscale decomposition.Supported by the Studienstiftung des Deutschen VolkesSupported in part by the Schweizerischer Nationalfonds |
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