@article{b1ba81a677ec4447baa9c38ff562e93d,
title = "New universality classes for two-dimensional σ-models",
abstract = "We argue that the two-dimensional O(N)-invariant lattice σ-model with mixed isovector-isotensor action has a one-parameter family of nontrivial continuum limits, only one of which is the continuum σ-model constructed by conventional perturbation theory. We test the proposed scenario with a high-precision Monte Carlo simulation for N=3,4 on lattices up to 512×512, using a Wolff-type embedding algorithm. The finite-size-scaling data confirm the existence of the predicted new family of continuum limits. In particular, the RPN-1 and N-vector models do not lie in the same universality class.",
author = "Sergio Caracciolo and Edwards, {Robert G.} and Andrea Pelissetto and Sokal, {Alan D.}",
note = "Funding Information: We wish to thank M. Aizenman, P. Butera, M. Campostrini, M. Caselle, M. Creutz, C. De-stri, F. Gliozzi, P. Hasenfratz, H. Kunz, M. Lfischer, F. Niedermayer, G. Parisi, P. Pasini, D. Rokhsar, P. Rossi, E. Sefler, T. Spencer, E. Vi-cari, U. Wolff, G. Zumbach and D. Zwanziger for helpful discussions. Computations were performed at SCRI, NYU, SNS, the Universit/L di Pisa and the Pittsburgh Supercomputer Center. The authors' research was supported in part by the INFN and CNR, DOE contracts DE-FC05-85ER250000 and DE-FG02-90ER40581, NSF grants DMS-8911273 and DMS-9200719, NATO grant CRG 910251, and a grant from the NYU Research Challenge Fund.",
year = "1993",
doi = "10.1103/PhysRevLett.71.3906",
language = "English (US)",
volume = "71",
pages = "3906--3909",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "24",
}