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) |
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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