Published March 2005 | Version v1
Journal article

Density matrix renormalization group approach to a two-dimensional bosonic model

  • 1. RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, NY 11973 (United States)

Description

Density matrix renormalization group (DMRG) is applied to a (1+1)-dimensional λφ4 model to study spontaneous breakdown of discrete Z2 symmetry numerically. We obtain the critical coupling (λ/μ2)c=59.89+/-0.01 and the critical exponent β=0.1264+/-0.0073, which are consistent with the Monte Carlo and the exact results, respectively. The results are based on extrapolation to the continuum limit with lattice sizes L=250, 500, and 1000. We show that the lattice size L=500 is sufficiently close to the the limit L->∞ [T. Sugihara, JHEP 0405 (2004) 007]

Additional details

Identifiers

DOI
10.1016/j.nuclphysbps.2004.11.290;
arXiv
arXiv:hep-lat/0408016v1;
PII
S0920-5632(04)00797-2;

Publishing Information

Journal Title
Nuclear Physics. B, Proceedings Supplements
Journal Volume
140
Journal Page Range
p. 791-793
ISSN
0920-5632
CODEN
NPBSE7

Conference

Title
22. international symposium on lattice field theory
Acronym
LATTICE 2004
Dates
21-26 Jun 2004
Place
Batavia, IL (United States)

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
37102706
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
COUPLING; DENSITY MATRIX; EXTRAPOLATION; MONTE CARLO METHOD; ONE-DIMENSIONAL CALCULATIONS; RENORMALIZATION; SYMMETRY; SYMMETRY BREAKING; TWO-DIMENSIONAL CALCULATIONS
Descriptors DEC
CALCULATION METHODS; MATHEMATICAL SOLUTIONS; MATRICES; NUMERICAL SOLUTION

Optional Information

Copyright
Copyright (c) 2004 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.