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

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

2004-08-09

arxiv.org/abs/hep-lat/0408016v1

Nucl.Phys.Proc.Suppl. 140 (2005) 791-793

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, 2 figures, parallel talk given at LATTICE 2004, Fermilab, June 21-26, 2004

Scientific paper

10.1016/j.nuclphysbps.2004.11.29

Density matrix renormalization group (DMRG) is applied to a (1+1)-dimensional $\lambda\phi^4$ model to study spontaneous breakdown of discrete $Z_2$ symmetry numerically. We obtain the critical coupling $(\lambda/\mu^2)_{\rm c}=59.89\pm 0.01$ and the critical exponent $\beta=0.1264\pm 0.0073$, 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 $L\to\infty$ \cite{Sugihara:2004qr}.

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