Resummation of non-global logarithms at finite Nc

Resummation of non-global logarithms at finite Nc
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DOI:
10.1016/j.nuclphysb.2013.06.021
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发表时间:
2013-04
期刊:
Nuclear Physics
影响因子:
--
通讯作者:
Y. Hatta;Takahiro Ueda
Y. Hatta;Takahiro Ueda
中科院分区:
其他
文献类型:
--
作者:
Y. Hatta;Takahiro Ueda

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在喷流间能量流动的背景下,我们给出了在有限Nc处非整体对数恢复的第一个定量结果,这是通过改进WeigertʼS方法实现的,在该方法中,问题归结为在威尔逊线空间中的相关朗之万动力学的模拟。我们发现,在e+e−湮没中,精确的结果与以前在大Nc平均场近似下得到的结果相当接近。然而,我们在朗之万过程中观察到了巨大的逐个事件的波动,这可能会在强子碰撞中产生重要的后果。
In the context of inter-jet energy flow, we present the first quantitative result of the resummation of non-global logarithms at finite N c. This is achieved by refining Weigertʼs approach in which the problem is reduced to the simulation of associated Langevin dynamics in the space of Wilson lines. We find that, in e+ e− annihilation, the exact result is rather close to the result previously obtained in the large-N c mean field approximation. However, we observe enormous event-by-event fluctuations in the Langevin process which may have significant consequences in hadron collisions.