caa a22 4500 467892865 CHVBK 20180406152754.0 cr unu---uuuuu 170328e20060101xx s 000 0 eng 10.1007/s10955-005-8010-1 doi (NATIONALLICENCE)springer-10.1007/s10955-005-8010-1 Hosaka Kenshi Division of Information and Media Science, Graduate School of Science and Technology, Kobe University, 657-8501, Rokko Kobe, Japan aut Triviality of Hierarchical Models with Small Negative φ4 Coupling in Four Dimensions [Elektronische Daten] [Kenshi Hosaka] The Kadanoff-Wilson renormalization group (RG) for a class of hierarchical spin models including small negative φ4 terms in four dimensions are studied by using Gawędzki and Kupiainen's analysis. We prove triviality for the class, namely prove existence of critical trajectory that leads to the Gaussian fixed point. Springer Science + Business Media, Inc., 2006 Hierarchical model nationallicence Triviality nationallicence Renormalization group nationallicence Negative φ4 coupling nationallicence Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers 122/2(2006-01-01), 237-253 0022-4715 122:2<237 2006 122 10955 https://doi.org/10.1007/s10955-005-8010-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-005-8010-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Hosaka Kenshi Division of Information and Media Science, Graduate School of Science and Technology, Kobe University, 657-8501, Rokko Kobe, Japan aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers 122/2(2006-01-01), 237-253 0022-4715 122:2<237 2006 122 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer