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arXiv 2201.05886math.PRmath-phmath.MP
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紧曲面上Yang-Mills测度的大N极限 II:Makeenko-Migdal方程与平面主场

Large N limit of the Yang-Mills measure on compact surfaces II: Makeenko-Migdal equations and planar master field

Antoine Dahlqvist, Thibaut Lemoine

AI总结:

本文研究亏格≥1的可定向紧曲面上二维欧几里得Yang-Mills测度的Wilson圈大N极限,证明环面情形的收敛性,并给出其他曲面的相关猜想。

摘要:

本文研究亏格大于等于1的所有可定向紧曲面上二维欧几里得Yang-Mills测度对应的Wilson圈的大N极限,其结构群为经典紧矩阵李群。我们证明了环面上所有圈的收敛性,并对其他曲面给出了有部分结果支撑的猜想。

英文摘要:

This paper considers the large N limit of Wilson loops for the two-dimensional Euclidean Yang-Mills measure on all orientable compact surfaces of genus larger or equal to one, with a structure group given by a classical compact matrix Lie group. We show their convergence for all loops on the torus and give a conjecture supported by partial results for other surfaces.

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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