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arXiv 0704.2707hep-thhep-lat
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QCD弦中的自旋-弦相互作用

Spin-String Interaction in QCD Strings

Vikram Vyas

摘要:

我考虑的问题之间的相互作用的QCD弦和自旋的夸克或反夸克的世界线上的字符串终止。本文从自旋半粒子的威尔逊圈的期望值的弦表示的角度分析了这个问题。从威尔逊圈的有效弦表示出发,得到超威尔逊圈的弦表示。以这种方式获得的作用量在世界线超对称下是不变的,并且具有包含自旋弦相互作用的边界项。对于矩形圈,自旋-弦相互作用消失,在由此产生的重夸克势中没有自旋-自旋项。另一方面,如果考虑到磁通管的有限内禀厚度,假设自旋-弦相互作用不仅发生在弦世界片的边界上,而且延伸到磁通管的内禀厚度量级的距离,那么我们确实得到了自旋-自旋相互作用,它是距离的五次方。这个术语以前是由Kogut和Parisi在约束的通量管模型中提出的。

英文摘要:

I consider the question of the interaction between a QCD string and the spin of a quark or an antiquark on whose worldline the string terminates. The problem is analysed from the point of view of a string representation for the expectation value of a Wilson loop for a spin-half particle. A string representation of the super Wilson loop is obtained starting from an effective string representation of a Wilson Loop. The action obtained in this manner is invariant under a worldline supersymmetry and has a boundary term which contains the spin-string interaction. For rectangular loops the spin-string interaction vanishes and there is no spin-spin term in the resulting heavy quark potential. On the other hand if an allowance is made for the finite intrinsic thickness of the flux-tube, by assuming that the spin-string interaction takes place not just at the boundary of the string world-sheet but extends to a distance of the order of the intrinsic thickness of the flux tube, then we do obtain a spin-spin interaction which falls as the fifth power of the distance. Such a term was previously suggested by Kogut and Parisi in the context of a flux-tube model of confinement.

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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