The 2-dimensional non-linear sigma-model on a random latice

Details The 2-dimensional non-linear sigma-model on a random latice The 2-dimensional non-linear sigma-model on a random latice

1995-03-27

arxiv.org/abs/hep-lat/9503025v2

Phys.Rev. D52 (1995) 6481-6492

Physics

High Energy Physics

High Energy Physics - Lattice

REVTeX file, 23 pages. 13 postscript figures in a separate compressed tar file

Scientific paper

10.1103/PhysRevD.52.6481

The O(n) non-linear $\sigma$-model is simulated on 2-dimensional regular and random lattices. We use two different levels of randomness in the construction of the random lattices and give a detailed explanation of the geometry of such lattices. In the simulations, we calculate the mass gap for $n=3, 4$ and 8, analysing the asymptotic scaling of the data and computing the ratio of Lambda parameters $\Lambda_{\rm random}/\Lambda_{\rm regular}$. These ratios are in agreement with previous semi-analytical calculations. We also numerically calculate the topological susceptibility by using the cooling method.

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