Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1995-09-12
Nucl.Phys.Proc.Suppl. 47 (1996) 763-766
Physics
High Energy Physics
High Energy Physics - Lattice
68456 bytes uuencoded gzip'ed (expands to 155611 bytes Postscript); 4 pages including all figures; contribution to Lattice '95
Scientific paper
10.1016/0920-5632(96)00169-7
We have computed the four-loop contribution to the beta-function and to the anomalous dimension of the field for the two-dimensional lattice $N$-vector model. This allows the determination of the second perturbative correction to various long-distance quantities like the correlation lengths and the susceptibilities. We compare these predictions with new Monte Carlo data for $N = 3,4,8$. From these data we also extract the values of various universal nonperturbative constants, which we compare with the predictions of the $1/N$ expansion.
Caracciolo Sergio
Edwards Robert G.
Mendes Tereza
Pelissetto Andrea
Sokal Alan D.
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