Relativistic heavy quark effective action
Relativistic heavy quark effective action
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相对论重夸克有效作用
DOI：
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发表时间：
2006
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通讯作者：
Huey
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作者：
N. Christ;Min Li;Huey
我们研究了精确描述晶格QCD中包含重夸克的系统的低能物理所需的费米子作用，即使重费米子质量m等于或大于逆晶格间距m{>=}1/a。我们通过|中的一阶p向量|a（其中p向量是重夸克动量）和ma中的所有阶进行展开，改进了Fermilab和Tsukuba群的分析。我们证明了重夸克束缚态的谱可以通过| P向量|a和（ma）{sup n}对任意指数n精确地确定，使用晶格作用只包含三个未知系数：m{sub 0}， {zeta}和c{sub P} （c{sub SW}的推广），它们是ma的函数。在另一篇论文中，我们展示了如何使用非微扰技术精确地确定这三个系数。
We study the fermion action needed to accurately describe the low energy physics of systems including heavy quarks in lattice QCD even when the heavy fermion mass m is on the order of, or larger than, the inverse lattice spacing: m{>=}1/a. We carry out an expansion through first order in |p-vector|a (where p-vector is the heavy quark momentum) and all orders in ma, refining the analysis of the Fermilab and Tsukuba groups. We demonstrate that the spectrum of heavy quark bound states can be determined accurately through |p-vector|a and (ma){sup n} for arbitrary exponent n by using a lattice action containing only three unknown coefficients: m{sub 0}, {zeta}, and c{sub P} (a generalization of c{sub SW}), which are functions of ma. In a companion paper, we show how these three coefficients can be precisely determined using nonperturbative techniques.