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From spin ladders to the 2D O(3) model at non-zero density

机译:从旋转梯子到非零密度的2D O(3)模型

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摘要

The numerical simulation of various field theories at non-zero chemical potential suffers from severe complex action problems. In particular, QCD at non-zero quark density can presently not be simulated for that reason. A similar complex action problem arises in the 2D O(3) model-a toy model for QCD. Here we construct the 2D O(3) model at non-zero density via dimensional reduction of an antiferromagnetic quantum spin ladder in a magnetic field. The complex action problem of the 2D O(3) model manifests itself as a sign problem of the ladder system. This sign problem is solved completely with a meron cluster algorithm.
机译:在非零化学势下,各种场论的数值模拟都存在严重的复杂作用问题。特别地,由于这个原因,目前不能模拟夸克密度为非零的QCD。在2D O(3)模型(用于QCD的玩具模型)中也出现了类似的复杂动作问题。在这里,我们通过磁场中反铁磁量子自旋阶梯的降维,以非零密度构造二维O(3)模型。二维O(3)模型的复杂动作问题表现为梯形系统的符号问题。这个符号问题可以通过meron聚类算法完全解决。

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