The random lattice as a regularization scheme Original Research Article

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) nonlinear σ-model regularized on a random lattice has the correct continuum limit. A degree κ of “randomness” in the lattice is introduced and an estimate of the ratio Λrandom/Λregular for two rather opposite values of κ in the σ-model is also given. This ratio turns out to depend on κ.