A Remark on different lattice approximations and continuum limits for -fields

Verfasser / Beitragende:
[Sergio Albeverio, Song Liang]
Ort, Verlag, Jahr:
2004
Enthalten in:
Random Operators and Stochastic Equations, 12/4(2004-12-01), 313-318
Format:
Artikel (online)
ID: 378920782
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024 7 0 |a 10.1515/1569397042722346  |2 doi 
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245 0 2 |a A Remark on different lattice approximations and continuum limits for -fields  |h [Elektronische Daten]  |c [Sergio Albeverio, Song Liang] 
520 3 |a 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. 
540 |a Copyright 2003, Walter de Gruyter 
690 7 |a Lattice approximation  |2 nationallicence 
690 7 |a quantum fields  |2 nationallicence 
690 7 |a -model  |2 nationallicence 
690 7 |a inequalities  |2 nationallicence 
690 7 |a continuum limits  |2 nationallicence 
700 1 |a Albeverio  |D Sergio  |u 1. Institute of Applied Mathematics, University of Bonn, Wegelerstr. 6, D53115 Bonn (Germany) and SFB611  |4 aut 
700 1 |a Liang  |D Song  |u 1. Institute of Applied Mathematics, University of Bonn, Wegelerstr. 6, D53115 Bonn (Germany) and SFB611  |4 aut 
773 0 |t Random Operators and Stochastic Equations  |d Walter de Gruyter  |g 12/4(2004-12-01), 313-318  |x 0926-6364  |q 12:4<313  |1 2004  |2 12  |o rose 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Liang  |D Song  |u 1. Institute of Applied Mathematics, University of Bonn, Wegelerstr. 6, D53115 Bonn (Germany) and SFB611  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Random Operators and Stochastic Equations  |d Walter de Gruyter  |g 12/4(2004-12-01), 313-318  |x 0926-6364  |q 12:4<313  |1 2004  |2 12  |o rose 
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