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arXiv 1105.4356hep-phhep-lathep-th
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D维短距离静态杂化势

The static hybrid potential in D dimensions at short distances

Antonio Pineda, Maximilian Stahlhofen

摘要:

我们计算了D= 4.3维中短距离静态杂化夸克偶素的能量,即静态夸克和反夸克的杂化夸克偶素的能量。对这种能量的软贡献是短距离处的色八重态夸克-反夸克对的静态势,对于任意D,这在两个环处是已知的。我们用热场论方法检验了这个表达式。使用有效场论pNRQCD,我们计算的超软贡献的混合(和单重态)的静态能量在两个回路的水平。然后,我们提出了新的静态混合能量/潜力和混合衰减宽度在三维和四维的结果。最后,我们评论的意义上的微扰结果在两个时空维度,其中的混合不存在。

英文摘要:

We compute the energy of a static hybrid, i.e. of a hybrid quarkonium with static quark and antiquark, at short distances in D=4,3 dimensions. The soft contribution to this energy is the static potential of a color octet quark-antiquark pair at short distances, which is known at two loops for arbitrary D. We have checked this expression employing thermal field theory methods. Using the effective field theory pNRQCD we calculate the ultrasoft contributions to the hybrid (and singlet) static energy at the two-loop level. We then present new results for the static hybrid energy/potential and the hybrid decay width in three and four dimensions. Finally we comment on the meaning of the perturbative results in two space-time dimensions, where the hybrid does not exist.

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