TY - JOUR

T1 - Comparison between theoretical four-loop predictions and Monte Carlo calculations in the two-dimensional N-vector model for N = 3, 4, 8

AU - Caracciolo, Sergio

AU - Edwards, Robert G.

AU - Mendes, Tereza

AU - Pelissetto, Andrea

AU - Sokal, Alan D.

N1 - Funding Information:
The authors' research was supported by CNR, INFN, DOE contracts DE-FG05-85ER250000 and DE-FG05-92ER40742, NSF grant DMS-9200719, and NATO CRG 910251.

PY - 1996/3

Y1 - 1996/3

N2 - 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.

AB - 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.

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U2 - 10.1016/0920-5632(96)00169-7

DO - 10.1016/0920-5632(96)00169-7

M3 - Article

AN - SCOPUS:16144366658

VL - 47

SP - 763

EP - 766

JO - Nuclear and Particle Physics Proceedings

JF - Nuclear and Particle Physics Proceedings

SN - 2405-6014

IS - 1-3

ER -