论文标题
（1+1） - 维o（3）非线性sigma模型中的两粒子散射
Two- and three-particle scattering in the (1+1)-dimensional O(3) non-linear sigma model
论文作者
论文摘要
我们研究了1+1个尺寸的O（3）非线性Sigma模型中的两粒子散射，重点是两个粒子的Isospin-1和Isospin-2通道，以及三个iSOSPIN-3通道。我们使用群集更新算法的三个集群概括对物理体积的四个值进行了数值模拟，每个值都在三个晶格间距处进行数值模拟，并直接在固定物理体积下直接向连续体推断出确定的有限体积能量。然后将两个颗粒的晶格结果与确切的预测进行比较，该结果通过结合散射相迁移的分析结果和（1+1） - 维度的两粒子形式主义将它们与有限体积的能量相关联。三粒子部门的类似比较正在进行中，利用了三粒子相对范围的有限理论形式主义。
We study two- and three-particle scattering in the O(3) non-linear sigma model in 1+1 dimensions, focusing on the isospin-1 and isospin-2 channels for two particles, and the isospin-3 channel for three. We perform numerical simulations for four values of the physical volume, each at three lattice spacings, using a three-cluster generalization of the cluster update algorithm, and directly extrapolate the determined finite-volume energies to the continuum at fixed physical volume. Lattice results for two particles are then compared against exact predictions, obtained by combining analytic results for the scattering phase shifts and the (1+1)-dimensional two-particle formalism that relates these to finite-volume energies. Analogous comparisons in the three-particle sector are underway, making use of the three-particle relativistic-field-theory finite-volume formalism.
