Abstract
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.
Original language | English (US) |
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Pages (from-to) | 763-766 |
Number of pages | 4 |
Journal | Nuclear Physics B - Proceedings Supplements |
Volume | 47 |
Issue number | 1-3 |
DOIs | |
State | Published - Mar 1996 |
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Nuclear and High Energy Physics