O(a**2) cutoff effects in Wilson fermion simulations
O(a**2) cutoff effects in Wilson fermion simulations
复制标题
威尔逊费米子模拟中的 O(a**2) 截止效应
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
G. Rossi
中科院分区：
文献类型：
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作者：
R. Frezzotti;G. Rossi
我们发现，在最大扭曲的威尔逊费米子模拟中，影响中性介子质量值的O（a^2）味违反截止伪影的大小由一个相当大的连续QCD量控制，并由自发手性对称性破断的动力学机制决定。人们可以争辩说，中性介子质量是唯一被这种截断效应模糊的物理量。这种O（a^2）的修正也存在于标准的威尔逊费米子模拟中，但它们要么会影响介子质量的测定，要么会从后者转移到其他可观测值，这取决于评估临界质量的方式。
We show that the size of the O(a^2) flavour violating cutoff artifacts that have been found to affect the value of the neutral pion mass in simulations with maximally twisted Wilson fermions is controlled by a continuum QCD quantity that is fairly large and is determined by the dynamical mechanism of spontaneous chiral symmetry breaking. One can argue that the neutral pion mass is the only physical quantity blurred by such cutoff effects. O(a^2) corrections of this kind are also present in standard Wilson fermion simulations, but they can either affect the determination of the pion mass or be shifted from the latter to other observables, depending on the way the critical mass is evaluated.