arXiv 0812.03342008-12hep-lathep-th

关于D=2+1 SU（N）规范理论中k=2封闭通量管的谱

On the spectrum of closed k=2 flux tubes in D=2+1 SU(N) gauge theories

Andreas Athenodorou, Barak Bringoltz, Michael Teper

备注：: 37 pages, 16 figures, minor changes to text and figures
发表信息：: JHEP 0905:019,2009
DOI：: 10.1088/1126-6708/2009/05/019

摘要：

我们计算的能谱的k=2通量管，是封闭的空间环面周围，作为其长度l的函数。我们对二维空间中的SU（4）和SU（5）规范理论也是这样做的。我们发现，在很好的近似下，本征态属于SU（N）群的不可约表示，而不只是属于SU（N）群的中心Z_N。我们得到了令人信服的证据，即在l不太小的情况下，低位态非常接近南武-后藤自由弦论（在平坦时空中）的低位态。修正项在适当的单位下通常是O（1），这与玻色弦模型是一个有效的弦论来描述这些通量管动力学的结果是一样的。这与基本通量管的情况形成鲜明对比，在基本通量管的情况下，已经发现这种校正不自然地小。此外，我们发现，这些修正似乎是特别小的“声子”沿弦具有相同的动量，大时，他们的动量是相反的。这提供了有效弦论中相互作用的详细性质的信息。我们一直在寻找，但没有找到，额外的状态，可能会产生的大规模模式的激发，推测与非平凡的结构的通量管。

英文摘要：

We calculate the energy spectrum of a k=2 flux tube that is closed around a spatial torus, as a function of its length l. We do so for SU(4) and SU(5) gauge theories in 2 space dimensions. We find that to a very good approximation the eigenstates belong to the irreducible representations of the SU(N) group rather than just to its center, Z_N. We obtain convincing evidence that the low-lying states are, for l not too small, very close to those of the Nambu-Goto free string theory (in flat space-time). The correction terms appear to be typically of O(1) in appropriate units, much as one would expect if the bosonic string model were an effective string theory for the dynamics of these flux tubes. This is in marked contrast to the case of fundamental flux tubes where such corrections have been found to be unnaturally small. Moreover we find that these corrections appear to be particularly small when the `phonons' along the string have the same momentum, and large when their momentum is opposite. This provides information about the detailed nature of the interactions in the effective string theory. We have searched for, but not found, extra states that would arise from the excitation of the massive modes presumably associated with the non-trivial structure of the flux tube.

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摘要：

英文摘要：

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