The random lattice as a regularization scheme

Details The random lattice as a regularization scheme The random lattice as a regularization scheme

1994-05-09

arxiv.org/abs/hep-lat/9405008v2

Nucl.Phys. B437 (1995) 627-640

Physics

High Energy Physics

High Energy Physics - Lattice

PostScript file. 22 pages. Revised and enlarged version

Scientific paper

10.1016/0550-3213(94)00572-V

A semi-analytic method to compute the first coefficients of the renormalization group functions on a random lattice is introduced. It is used to show that the two-dimensional $O(N)$ non-linear $\sigma$-model regularized on a random lattice has the correct continuum limit. A degree $\kappa$ of ``randomness'' in the lattice is introduced and an estimate of the ratio $\Lambda_{random}/\Lambda_{regular}$ for two rather opposite values of $\kappa$ in the $\sigma$-model is also given. This ratio turns out to depend on $\kappa$.

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