Nonperturbatively determined relativistic heavy quark action
Nonperturbatively determined relativistic heavy quark action
复制标题
非微扰决定的相对论重夸克作用
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
N. Christ
中科院分区：
文献类型：
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作者：
Huey;N. Christ
我们提出了一种非微扰地确定壳层上O(A)改进的相对论重夸克作用参数的方法。这三个参数m{sub0}，{zeta}和c{subB}=c{subE}，是通过有限体积、重-重和重-轻介子质量与精确的相对论谱相匹配，通过有限体积、阶梯尺度递归过程得到的。我们证明，通过对物理空间体积相同但晶格间距完全不同的一对晶格进行这种匹配，可以达到几百分之一的精度。晶格间距为1/a=5.4GeV和24{sup3}x48位的细晶格和粗晶格为1/a=3.6GeV，16{sup3}x32的晶格与重夸克质量m一起使用。这种方法无法确定最初预期的四个重夸克参数：m{sub0}、{zeta}、c{subB}和c{subE}。这四个参数的这种明显的不唯一性激发了一篇文章中提出的分析结果，即这个集合是多余的，并且通过a|p向量|和ma中的所有阶允许限制c{subE}=c{subB}，其中p向量是重夸克的空间动量。
We present a method to nonperturbatively determine the parameters of the on-shell, O(a)-improved relativistic heavy quark action. These three parameters, m{sub 0}, {zeta}, and c{sub B}=c{sub E}, are obtained by matching finite-volume, heavy-heavy, and heavy-light meson masses to the exact relativistic spectrum through a finite-volume, step-scaling recursion procedure. We demonstrate that accuracy on the level of a few percent can be achieved by carrying out this matching on a pair of lattices with equal physical spatial volumes but quite different lattice spacings. A fine lattice with inverse lattice spacing 1/a=5.4 GeV and 24{sup 3}x48 sites and a coarse, 1/a=3.6 GeV, 16{sup 3}x32 lattice are used together with a heavy quark mass m approximately that of the charm quark. This approach is unable to determine the initially expected, four heavy quark parameters: m{sub 0}, {zeta}, c{sub B}, and c{sub E}. This apparent nonuniqueness of these four parameters motivated the analytic result, presented in a companion paper, that this set is redundant and that the restriction c{sub E}=c{sub B} is permitted through order a|p-vector| and to all orders in ma where p-vector is the heavy quark's spatial momenta.