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Two-dimensional O(3) {sigma}-model up to correlation length 10{sup 5}

Abstract

We carry out a high-precision Monte Carlo simulation of the two-dimensional O(3)-invariant {sigma}-model at correlation lengths {xi} up to similar 10{sup 5}. 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 similar 25% at {xi}{approx}10{sup 2}, decreases to similar 4% at {xi}{approx}10{sup 5}. ((orig.)).
Authors:
Caracciolo, S; [1]  Edwards, R G; [2]  Pelissetto, A; [3]  Sokal, A D [4] 
  1. Lecce Univ. (Italy). Dipartimento di Fisica and INFN
  2. Florida State Univ., Tallahassee, FL (United States). Supercomputer Computations Research Inst. (SCRI)
  3. Dipartimento di Fisica and INFN - Sezione di Pisa, Universita degli Studi di Pisa, Pisa 56100 (Italy)
  4. Department of Physics, New York University, 4 Washington Place, New York, NY 10003 (United States)
Publication Date:
Apr 01, 1995
Product Type:
Journal Article
Report Number:
CONF-9409269-
Reference Number:
SCA: 662110; PA: AIX-26:064366; EDB-95:132395; SN: 95001458381
Resource Relation:
Journal Name: Nuclear Physics B, Proceedings Supplements; Journal Volume: 42; Conference: Lattice `94, Bielefeld (Germany), 25 Sep - 1 Oct 1994; Other Information: PBD: Apr 1995
Subject:
66 PHYSICS; LATTICE FIELD THEORY; MONTE CARLO METHOD; SIGMA MODEL; ASYMPTOTIC SOLUTIONS; BOUNDARY CONDITIONS; COMPUTERIZED SIMULATION; CORRELATION FUNCTIONS; EXTRAPOLATION; O GROUPS; SCALING LAWS; TWO-DIMENSIONAL CALCULATIONS
OSTI ID:
101072
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF409064366
Submitting Site:
NLN
Size:
pp. 752-754
Announcement Date:
Oct 05, 1995

Citation Formats

Caracciolo, S, Edwards, R G, Pelissetto, A, and Sokal, A D. Two-dimensional O(3) {sigma}-model up to correlation length 10{sup 5}. Netherlands: N. p., 1995. Web. doi:10.1016/0920-5632(95)00371-F.
Caracciolo, S, Edwards, R G, Pelissetto, A, & Sokal, A D. Two-dimensional O(3) {sigma}-model up to correlation length 10{sup 5}. Netherlands. https://doi.org/10.1016/0920-5632(95)00371-F
Caracciolo, S, Edwards, R G, Pelissetto, A, and Sokal, A D. 1995. "Two-dimensional O(3) {sigma}-model up to correlation length 10{sup 5}." Netherlands. https://doi.org/10.1016/0920-5632(95)00371-F.
@misc{etde_101072,
title = {Two-dimensional O(3) {sigma}-model up to correlation length 10{sup 5}}
author = {Caracciolo, S, Edwards, R G, Pelissetto, A, and Sokal, A D}
abstractNote = {We carry out a high-precision Monte Carlo simulation of the two-dimensional O(3)-invariant {sigma}-model at correlation lengths {xi} up to similar 10{sup 5}. 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 similar 25% at {xi}{approx}10{sup 2}, decreases to similar 4% at {xi}{approx}10{sup 5}. ((orig.)).}
doi = {10.1016/0920-5632(95)00371-F}
journal = {Nuclear Physics B, Proceedings Supplements}
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}