Testing perturbation theory on the Nf=0 static quark potential
Testing perturbation theory on the Nf=0 static quark potential
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Nf=0 静态夸克势的微扰理论检验
DOI：
10.1016/s0370-2693(01)01298-9
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发表时间：
2001
影响因子：
4.4
通讯作者：
R. Sommer
中科院分区：
文献类型：
--
作者：
S. Necco;R. Sommer
对静力和势的微扰展开式的实用性进行了重新分析。通过对耦合αqq（μ=1/r）=（Cf）− 1 r2 F（r）的重整化群方程的积分，给出了一个表现良好的微扰预言。由于Nf=0理论的λ参数是从[AlphaCollaboration，S. Capitani，M. Lüscher，R. Sommer，H. Wittig，Nucl. Phys. B 544（1999）669]，微扰预测不包含自由参数。它面临着最近的非微扰的结果。对于α <$0.3，其中微扰表达式的截断误差被天真地估计为中等，它实际上是相当准确的，并且排除了大的“非微扰项”。
The perturbative expansion of static force and potential is reanalyzed concerning its practical applicability. A well behaved perturbative prediction is given by the integration of the renormalization group equation for the coupling αqq(μ=1/r)=(Cf)−1r2F(r). Since the Lambda-parameter of the Nf=0 theory is known from [ALPHA Collaboration, S. Capitani, M. Lüscher, R. Sommer, H. Wittig, Nucl. Phys. B 544 (1999) 669], the perturbative prediction contains no free parameter. It is confronted with recent non-perturbative results. For α≲0.3 where the truncation error of the perturbative expression is naively estimated to be moderate, it is really quite accurate and large “non-perturbative terms” are excluded.