Studying and removing effects of fixed topology in a quantum mechanical model
Studying and removing effects of fixed topology in a quantum mechanical model
复制标题
研究并消除量子力学模型中固定拓扑的影响
DOI：
10.22323/1.187.0339
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
M. Wagner
中科院分区：
文献类型：
--
作者：
A. Dromard;M. Wagner
在小的晶格间距，或者当使用重叠费米子时，晶格QCD模拟往往会陷入单一的拓扑扇区。物理观测量与它们的完整QCD对应物相差1/V修正，其中V是时空体积。Brower等人和Aoki等人通过鞍点近似导出了方程，以确定和消除这些修正。我们扩展这些方程，并将其应用到一个简单的玩具模型，一个量子力学粒子在一个圆在一个固定的拓扑结构的方势阱。这个模型可以数值求解到任意精度，并允许探索由于固定拓扑结构而产生的影响。我们调查的范围内的有效性和上述方程的准确性，以消除这种固定的拓扑结构的影响。
At small lattice spacing, or when using e.g. overlap fermions, lattice QCD simulations tend to become stuck in a single topological sector. Physical observables then differ from their full QCD counterparts by 1/V corrections, where V is the spacetime volume. Brower et al. and Aoki et al. have derived equations by means of a saddle point approximation, to determine and to remove these corrections. We extend these equations and apply them to a simple toy model, a quantum mechanical particle on a circle in a square well potential at fixed topology. This model can be solved numerically up to arbitrary precision and allows to explore effects arising due to fixed topology. We investigate the range of validity and accuracy of the above mentioned equations, to remove such fixed topology effects.
DOI：
10.1140/epja/i2010-10915-1
发表时间：
2010
期刊：
The European Physical Journal A
影响因子：
--
作者：
Bruckmann;Gruber;Jansen;Marinkovic;Urbach;Wagner
通讯作者：
Wagner