Two-dimensional O(3) σ-model up to correlation length 105

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

doi:10.1016/0920-5632(95)00371-F

Two-dimensional O(3) σ-model up to correlation length 10⁵

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

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

Abstract

We carry out a high-precision Monte Carlo simulation of the two-dimensional O(3)-invariant σ-model at correlation lengths ξ up to ∼ 10⁵. Our work employs a new and powerful method for extrapolating finite-volume Monte Carlo data to infinite volume, based on finite-size-scaling theory. We compare the extrapolated data to the renormalization-group predictions. The deviation from asymptotic scaling, which is ≈ 25% at ξ ∼ 10², decreases to ≈ 4% at ξ ∼ 10⁵.

Original language	English (US)
Pages (from-to)	752-754
Number of pages	3
Journal	Nuclear Physics B (Proceedings Supplements)
Volume	42
Issue number	1-3
DOIs	https://doi.org/10.1016/0920-5632(95)00371-F
State	Published - Apr 1995

ASJC Scopus subject areas

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

Access to Document

10.1016/0920-5632(95)00371-F

Cite this

@article{3e302079372242f8950200b94aebbf72,

title = "Two-dimensional O(3) σ-model up to correlation length 105",

abstract = "We carry out a high-precision Monte Carlo simulation of the two-dimensional O(3)-invariant σ-model at correlation lengths ξ up to ∼ 105. Our work employs a new and powerful method for extrapolating finite-volume Monte Carlo data to infinite volume, based on finite-size-scaling theory. We compare the extrapolated data to the renormalization-group predictions. The deviation from asymptotic scaling, which is ≈ 25% at ξ ∼ 102, decreases to ≈ 4% at ξ ∼ 105.",

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

note = "Funding Information: We wish to thank aae-Kwon Kim for sharing his data with us, and for challenging us to push to ever larger values of ~/L. We also thank Steffen Meyer, Adrian Patrascioiu, Erhard Seller and Ulli Wolff for helpful discussions. 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.",

year = "1995",

month = apr,

doi = "10.1016/0920-5632(95)00371-F",

language = "English (US)",

volume = "42",

pages = "752--754",

journal = "Nuclear Physics B (Proceedings Supplements)",

issn = "0920-5632",

publisher = "Elsevier B.V.",

number = "1-3",

}

TY - JOUR

T1 - Two-dimensional O(3) σ-model up to correlation length 105

AU - Caracciolo, Sergio

AU - Edwards, Robert G.

AU - Pelissetto, Andrea

AU - Sokal, Alan D.

N1 - Funding Information: We wish to thank aae-Kwon Kim for sharing his data with us, and for challenging us to push to ever larger values of ~/L. We also thank Steffen Meyer, Adrian Patrascioiu, Erhard Seller and Ulli Wolff for helpful discussions. 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 - 1995/4

Y1 - 1995/4

N2 - We carry out a high-precision Monte Carlo simulation of the two-dimensional O(3)-invariant σ-model at correlation lengths ξ up to ∼ 105. Our work employs a new and powerful method for extrapolating finite-volume Monte Carlo data to infinite volume, based on finite-size-scaling theory. We compare the extrapolated data to the renormalization-group predictions. The deviation from asymptotic scaling, which is ≈ 25% at ξ ∼ 102, decreases to ≈ 4% at ξ ∼ 105.

AB - We carry out a high-precision Monte Carlo simulation of the two-dimensional O(3)-invariant σ-model at correlation lengths ξ up to ∼ 105. Our work employs a new and powerful method for extrapolating finite-volume Monte Carlo data to infinite volume, based on finite-size-scaling theory. We compare the extrapolated data to the renormalization-group predictions. The deviation from asymptotic scaling, which is ≈ 25% at ξ ∼ 102, decreases to ≈ 4% at ξ ∼ 105.

UR - http://www.scopus.com/inward/record.url?scp=33845289208&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33845289208&partnerID=8YFLogxK

U2 - 10.1016/0920-5632(95)00371-F

DO - 10.1016/0920-5632(95)00371-F

M3 - Article

AN - SCOPUS:33845289208

SN - 0920-5632

VL - 42

SP - 752

EP - 754

JO - Nuclear Physics B (Proceedings Supplements)

JF - Nuclear Physics B (Proceedings Supplements)

IS - 1-3

ER -

Two-dimensional O(3) σ-model up to correlation length 10⁵

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this