Comparison of the O(3) bootstrap σ model with lattice regularization at low energies
Comparison of the O(3) bootstrap σ model with lattice regularization at low energies
复制标题
低能量下 O(3) bootstrap σ 模型与晶格正则化的比较
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
P. Weisz
中科院分区：
文献类型：
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作者：
J. Balog;M. Niedermaier;F. Niedermayer;A. Patrascioiu;E. Seiler;P. Weisz
在二维非线性O(3) sigma模型中，通过连接的4点函数在零外部动量下定义的重归一化耦合gR，在连续体形式因子自举方法中计算，估计误差为0.3%。在晶格正则化理论中，提出了新的高精度gR数据，对于近热力学晶格L/ξ ~ 7和相关长度ξ高达~ 122的标准作用，以及相关长度高达~ 12的不动点作用。形状因子和晶格结果之间的一致性在1%以内。我们还通过测量两粒子的能量重新计算了低能量时的相移。�,
The renormalized coupling gR defined through the connected 4-point function at zero external momentum in the non-linear O(3) sigma-model in two dimensions, is computed in the continuum form factor bootstrap approach with estimated error ∼ 0.3%. New high precision data are presented for gR in the lattice regularized theory with standard action for nearly thermodynamic lattices L/ξ ∼ 7 and correlation lengths ξ up to ∼ 122 and with the fixed point action for correlation lengths up to ∼ 12. The agreement between the form factor and lattice results is within ∼ 1%. We also recompute the phase shifts at low energy by measuring the two-particle energies � � . � ,