caa a22 4500 378920782 CHVBK 20180305123604.0 cr unu---uuuuu 161128e20041201xx s 000 0 eng 10.1515/1569397042722346 doi (NATIONALLICENCE)gruyter-10.1515/1569397042722346 A Remark on different lattice approximations and continuum limits for -fields [Elektronische Daten] [Sergio Albeverio, Song Liang] Consider the lattice approximation of a -quantum field model with different lattice cutoffs a′ and a in the free and interacting parts, respectively. In [1] it was shown that the corresponding continuum limit measure exists if lim a→0 a′| log a|5/4 < ∞ and it coincides with the original - field measure if lim a→0 a′| log a|2 < ∞. In this paper, a result is given indicating that the new continuum limit measure might be different from the original one if a′ is too big compared with a. Copyright 2003, Walter de Gruyter Lattice approximation nationallicence quantum fields nationallicence -model nationallicence inequalities nationallicence continuum limits nationallicence Albeverio Sergio 1. Institute of Applied Mathematics, University of Bonn, Wegelerstr. 6, D53115 Bonn (Germany) and SFB611 aut Liang Song 1. Institute of Applied Mathematics, University of Bonn, Wegelerstr. 6, D53115 Bonn (Germany) and SFB611 aut Random Operators and Stochastic Equations Walter de Gruyter 12/4(2004-12-01), 313-318 0926-6364 12:4<313 2004 12 rose https://doi.org/10.1515/1569397042722346 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/1569397042722346 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Albeverio Sergio 1. Institute of Applied Mathematics, University of Bonn, Wegelerstr. 6, D53115 Bonn (Germany) and SFB611 aut NATIONALLICENCE 700 1- Liang Song 1. Institute of Applied Mathematics, University of Bonn, Wegelerstr. 6, D53115 Bonn (Germany) and SFB611 aut NATIONALLICENCE 773 0- Random Operators and Stochastic Equations Walter de Gruyter 12/4(2004-12-01), 313-318 0926-6364 12:4<313 2004 12 rose CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter