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 pertubation 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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 129-134 |
| Number of pages | 6 |
| Journal | Nuclear Physics B (Proceedings Supplements) |
| Volume | 34 |
| Issue number | C |
| DOIs | |
| State | Published - Apr 1994 |
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Nuclear and High Energy Physics
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Caracciolo, S., Edwards, R. G., Pelissetto, A., & Sokal, A. D. (1994). New universality classes for two-dimensional σ-models. Nuclear Physics B (Proceedings Supplements), 34(C), 129-134. https://doi.org/10.1016/0920-5632(94)90328-X