arXiv 0708.34472007-08-25hep-lathep-th

2+1维SU（N）规范理论中的弦：超越基本表象

Strings in SU(N) gauge theories in 2+1 dimensions: beyond the fundamental representation

Barak Bringoltz, Michael Teper

备注：: 7 pages, 8 figures, Presented by BB at the XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regensburg, Germany
发表信息：: PoSLAT2007:291,2007

摘要：

计算了（2+1）维SU（N）规范理论中N= 4，5，6，8的闭k弦的能量和张力.当我们研究基态能量与弦长度的关系时，我们发现它可以用一个大长度的Nambu-Goto（NG）自由玻色弦来描述。在较短的长度，我们看到我们适合的偏差，这使我们能够控制涉及提取张力的系统误差。我们将得到的弦张力与Casimir标度进行比较，我们发现它比我们的数据低1%-4%。将我们的结果外推到N=oo，我们发现我们的数据更自然地符合1/N而不是1/N^2修正。最后，我们看到k弦态的全谱落入属于SU（N）的特定不可约表示的扇区。

英文摘要：

We calculate energies and tensions of closed k-strings in (2+1)-dimensional SU(N) gauge theories with N=4,5,6,8. When we study the dependence of the ground state energy on the string length, we find that it is well described by a Nambu-Goto (NG) free bosonic string for large lengths. At shorter lengths we see deviations which we fit, and this allows us to control the systematic error involved in extracting the tension. We compare the resulting string tensions with Casimir scaling, which we find to be lower than our data by 1%-4%. Extrapolating our results to N=oo we see that our data fits more naturally to 1/N rather than 1/N^2 corrections. Finally, we see that the full spectrum of the k-string states falls into sectors that belong to particular irreducible representations of SU(N).

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文