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A Remark on different lattice approximations and continuum limits for -fields
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Sergio Albeverio
Published/Copyright:
December 1, 2004
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 lima→0a′| log a|5/4 < ∞ and it coincides with the original - field measure if lima→0a′| 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.
Published Online: 2004-12-01
Published in Print: 2004-12-01
Copyright 2003, Walter de Gruyter
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Articles in the same Issue
- A Remark on different lattice approximations and continuum limits for -fields
- On the skew uniform distribution
- On exchange mechanisms for bosons
- On martingales invoked by stochastic exponential and monomial densities
- On the distribution of duration of stay in an interval of the semi-continuous process with independent increments
- Flows generated by stochastic equations with reflection
- Infinite dimensional entangled Markov chains
Keywords for this article
Lattice approximation,;
quantum fields,;
-model,;
inequalities,;
continuum limits
Articles in the same Issue
- A Remark on different lattice approximations and continuum limits for -fields
- On the skew uniform distribution
- On exchange mechanisms for bosons
- On martingales invoked by stochastic exponential and monomial densities
- On the distribution of duration of stay in an interval of the semi-continuous process with independent increments
- Flows generated by stochastic equations with reflection
- Infinite dimensional entangled Markov chains
