Density matrix renormalization group in a two-dimensional $λφ^4$ Hamiltonian lattice model

Details Density matrix renormalization group in a two-dimensional $λφ^4$ Hamiltonian lattice model Density matrix renormalization group in a two-dimensional $λφ^4$ Hamiltonian lattice model

2004-03-04

arxiv.org/abs/hep-lat/0403008v2

JHEP0405:007,2004

Physics

High Energy Physics

High Energy Physics - Lattice

16 pages, 10 figures, minor corrections, accepted for publication in JHEP

Scientific paper

10.1088/1126-6708/2004/05/007

Density matrix renormalization group (DMRG) is applied to a (1+1)-dimensional $\lambda\phi^4$ model. Spontaneous breakdown of discrete $Z_2$ symmetry is studied numerically using vacuum wavefunctions. 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 $L\to\infty$.

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