Multigrid acceleration for asymptotically free theories.
Multigrid acceleration for asymptotically free theories.
复制标题
渐近自由理论的多重网格加速。
DOI：
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发表时间：
1992
影响因子：
8.6
通讯作者：
S. Meyer
中科院分区：
文献类型：
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作者：
M. Hasenbusch;S. Meyer
针对具有整体手征SU({italN}){次}SU({italN})对称或Cp{sup{italN}{减去}1}流形的非线性{sigma}模型，提出了一种分段线性插值型多重网格蒙特卡罗算法.我们在二维SU(3){次}SU(3)手征模型和CP{sup3}非线性{sigma}模型中证明了它的有效性，关联长度在晶格单元中可达77。在尺寸为512{次}512的晶格上，我们在Cp{sup 3}情形下几乎完全消除了临界慢化，其动力学临界指数{italz}{subMGMC}=0.2{正负}0.1。在所研究的参数范围内，对于两个模型的标准作用，裸露耦合的渐近标度似乎并不成立。
We present a multigrid Monte Carlo algorithm with piecewise-linear interpolation operator for nonlinear {sigma} models with global chiral SU({ital N}){times}SU({ital N}) symmetry or CP{sup {ital N}{minus}1} manifold. We demonstrate its efficiency in the two-dimensional SU(3){times}SU(3) chiral model and the CP{sup 3} nonlinear {sigma} model for correlation length up to 77 in lattice units. On lattices up to size 512{times}512 we achieve almost complete elimination of critical slowing down in the CP{sup 3} case, with a dynamical critical exponent {ital z}{sub MGMC}=0.2{plus minus}0.1. Asymptotic scaling with the bare coupling does not appear to set in for the standard action of both models in the range of parameters studied.