Free Energies and Fluctuations for the Unitary Brownian Motion
Free Energies and Fluctuations for the Unitary Brownian Motion
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酉布朗运动的自由能和涨落
DOI：
10.1007/s00220-016-2756-y
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发表时间：
2014
影响因子：
2.4
通讯作者：
Antoine Dahlqvist
中科院分区：
文献类型：
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作者：
Antoine Dahlqvist
我们证明了在独立酉布朗运动中，词迹的拉普拉斯变换收敛于非平凡圆盘上的解析函数。这些结果使得人们可以研究具有势平面上酉Yang-Mills测度下Wilson环的渐近行为。所得到的限制对象的特点是由方程类似于Schwinger-Dyson的，在这里命名后，Mauryko和Migdal。
We show that the Laplace transforms of traces of words in independent unitary Brownian motions converge towards an analytic function on a non trivial disc. These results allow one to study the asymptotic behavior of Wilson loops under the unitary Yang–Mills measure on the plane with a potential. The limiting objects obtained are shown to be characterized by equations analogue to Schwinger–Dyson’s ones, named here after Makeenko and Migdal.