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arXiv 1008.2636hep-thhep-lat
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关于长开弦的有效理论

On the effective theory of long open strings

Ofer Aharony, Matan Field

摘要:

我们研究了一般低能有效作用量对长开弦的影响,例如纯规范理论中的约束弦。利用洛伦兹不变性,我们发现,对于长度为R的弦,与南部-后藤能级的领先偏离一般发生在1/R^4量级(包括对基态能量的修正),而在四维激发的闭弦中是1/R^5,在三维激发的闭弦中是1/R^7。这对狄利克雷边界条件和诺依曼边界条件都是正确的,尽管世界面边界作用是不同的。狄利克雷情形与(例如)限制规范理论中的外夸克间的力有关,诺依曼情形与在畴壁间拉伸的弦有关。在弱弯曲全息对偶约束规范理论的特殊情况下,我们计算了开弦终止于两个D-膜时的前导修正系数,得到了一个非零结果。

英文摘要:

We study the general low-energy effective action on long open strings, such as confining strings in pure gauge theories. Using Lorentz invariance, we find that for a string of length R, the leading deviation from the Nambu-Goto energy levels generically occurs at order 1/R^4 (including a correction to the ground state energy), as opposed to 1/R^5 for excited closed strings in four dimensions, and 1/R^7 for closed strings in three dimensions. This is true both for Dirichlet and for Neumann boundary conditions for the transverse directions, though the worldsheet boundary actions are different. The Dirichlet case is relevant (for instance) for the force between external quarks in a confining gauge theory, and the Neumann case for a string stretched between domain walls. In the specific case of confining gauge theories with a weakly curved holographic dual, we compute the coefficient of the leading correction when the open string ends on two D-branes, and find a non-vanishing result.

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。

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