THE RANDOM LATTICE AS A REGULARIZATION SCHEME

Authors
Citation
B. Alles, THE RANDOM LATTICE AS A REGULARIZATION SCHEME, Nuclear physics. B, 437(3), 1995, pp. 627-640
Citations number
27
Categorie Soggetti
Physics, Nuclear
Journal title
ISSN journal
05503213
Volume
437
Issue
3
Year of publication
1995
Pages
627 - 640
Database
ISI
SICI code
0550-3213(1995)437:3<627:TRLAAR>2.0.ZU;2-N
Abstract
A semi-analytic method to compute the first coefficients of the renorm alization group functions on a random lattice is introduced. It is use d to show that the two-dimensional O(N) nonlinear sigma-model regulari zed on a random lattice has the correct continuum limit. A degree kapp a of ''randomness'' in the lattice is introduced and an estimate of th e ratio Lambda(r)andom/Lambda(regular) for two rather opposite values of kappa in the sigma-model is also given. This ratio turns out to dep end on kappa.