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arXiv 1012.5875hep-lathep-phhep-th
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关于k-弦在大N时的注记

Comments on k-Strings at Large N

Joanna L. Karczmarek, Gordon W. Semenoff, Shuhang Yang

摘要:

本文给出了二维格点Yang-Mills理论在大N极限下k弦张力的计算。众所周知,计算配分函数和威尔逊圈的问题都可以归结为具有分离弱耦合和强耦合的三阶相变的酉矩阵积分。当k/N为常数且不为零时,我们给出了k弦在大N极限下相互作用能的显式计算。在这个极限下,相互作用能是有限的和吸引的。我们证明了在强耦合相,k -> N-k对偶性是以一级相变的形式实现的。我们还表明,晶格k弦张力减少到预期的Casimir标度在连续极限。

英文摘要:

We present a computation of the k-string tension in the large N limit of the two dimensional lattice Yang-Mills theory. It is well known that the problems of computing the partition function and the Wilson loop can be both reduced to a unitary matrix integral which has a third order phase transition separating weak and strong coupling. We give an explicit computation of the interaction energy for k-strings in the large N limit when k/N is held constant and non-zero. In this limit, the interaction energy is finite and attractive. We show that, in the strong coupling phase, the k -> N - k duality is realized as a first order phase transition. We also show that the lattice k-string tension reduces to the expected Casimir scaling in the continuum limit.

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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