New universality classes for two-dimensional σ-models

Sergio Caracciolo; Robert G. Edwards; Andrea Pelissetto; Alan D. Sokal

doi:10.1016/0920-5632(94)90328-X

New universality classes for two-dimensional σ-models

Sergio Caracciolo, Robert G. Edwards, Andrea Pelissetto, Alan D. Sokal

Research output: Contribution to journal › Article › peer-review

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 RP^N-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	https://doi.org/10.1016/0920-5632(94)90328-X
State	Published - Apr 1994

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics

Access to Document

10.1016/0920-5632(94)90328-X

Fingerprint Dive into the research topics of 'New universality classes for two-dimensional σ-models'. Together they form a unique fingerprint.

Cite this

@article{440a3f0f75d340ce898c1a257d85a064,

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 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.",

author = "Sergio Caracciolo and Edwards, {Robert G.} and Andrea Pelissetto and Sokal, {Alan D.}",

year = "1994",

month = apr,

doi = "10.1016/0920-5632(94)90328-X",

language = "English (US)",

volume = "34",

pages = "129--134",

journal = "Nuclear and Particle Physics Proceedings",

issn = "2405-6014",

publisher = "Elsevier",

number = "C",

}

TY - JOUR

T1 - New universality classes for two-dimensional σ-models

AU - Caracciolo, Sergio

AU - Edwards, Robert G.

AU - Pelissetto, Andrea

AU - Sokal, Alan D.

PY - 1994/4

Y1 - 1994/4

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33750258837&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33750258837&partnerID=8YFLogxK

U2 - 10.1016/0920-5632(94)90328-X

DO - 10.1016/0920-5632(94)90328-X

M3 - Article

AN - SCOPUS:33750258837

VL - 34

SP - 129

EP - 134

JO - Nuclear and Particle Physics Proceedings

JF - Nuclear and Particle Physics Proceedings

SN - 2405-6014

IS - C

ER -