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arXiv 1009.4237hep-phhep-lathep-th
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2+1维弱耦合下的QCD静电势

The QCD static potential in 2+1 dimensions at weak coupling

Maximilian Stahlhofen

摘要:

利用有效理论pNRQCD,我们确定了在弱耦合(α r << 1)下三维时空中具有(固定)距离r的色单重夸克-反夸克对的势能.我们的结果的精度达到O(α ^3 r^2),即在多极展开中为NNLO,在α/Δ V展开中为NNLL,其中Δ V ~ α ln(α r)。我们甚至包括所有对数项,直到N^4LL阶,并将结果与现有的晶格数据进行比较。

英文摘要:

Using the effective theory pNRQCD we determine the potential energy of a color singlet quark-antiquark pair with (fixed) distance r in three space-time dimensions at weak coupling (alpha r << 1). The precision of our result reaches O(alpha^3 r^2), i.e. NNLO in the multipole expansion, and NNLL in a alpha/DeltaV expansion, where Delta V ~ alpha ln(alpha r). We even include all logarithmic terms up to N^4LL order and compare the outcome to existing lattice data.

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