Violation of Casimir Scaling for Static QCD Potential at Three-loop Order
Violation of Casimir Scaling for Static QCD Potential at Three-loop Order
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DOI：
10.1016/j.nuclphysb.2010.05.012
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发表时间：
2010-04
期刊：
影响因子：
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通讯作者：
C. Anzai;Y. Kiyo;Y. Sumino
中科院分区：
文献类型：
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作者：
C. Anzai;Y. Kiyo;Y. Sumino
我们计算了静态色源之间的势VR（r）的全O（αs4）和O（α s4 log αs）修正，其中VR（r）由一般规范群G的一般表示R中的Wilson圈定义.在O（αs4）处，我们首次发现了势的Casimir标度的破坏. Casimir标度破坏的影响被预测为与依赖于R的特定颜色因子成比例地减小VR（r）/CR的正切。我们研究了G=SU（3）情况下各种R的卡西米尔标度破坏的大小。我们发现，他们是在目前的范围内，从晶格计算，在距离区域的微扰和晶格计算VR（r）是有效的。我们还讨论了如何检验Casimir标度破坏效应。
We compute the full O(αs4) and O(αs4logαs) corrections to the potential VR(r) between the static color sources, where VR(r) is defined from the Wilson loop in a general representation R of a general gauge group G. We find a violation of the Casimir scaling of the potential, for the first time, at O(αs4). The effect of the Casimir scaling violation is predicted to reduce the tangent of VR(r)/CRproportionally to specific color factors dependent on R. We study the sizes of the Casimir scaling violation for various R's in the case G=SU(3). We find that they are well within the present bounds from lattice calculations, in the distance region where both perturbative and lattice computations of VR(r) are valid. We also discuss how to test the Casimir scaling violating effect.