Does the crossover from perturbative to nonperturbative physics in QCD become a phase transition at infinite N
Does the crossover from perturbative to nonperturbative physics in QCD become a phase transition at infinite N
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QCD 中从微扰物理到非微扰物理的交叉是否会成为无限 N 处的相变
DOI：
10.1016/j.physletb.2003.08.070
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发表时间：
2003
影响因子：
4.4
通讯作者：
H. Neuberger
中科院分区：
文献类型：
--
作者：
J. Kiskis;R. Narayanan;H. Neuberger
我们提出的数值证据表明，在平面极限，四维欧氏杨米尔斯理论经历了一个有限的对称四环面的长度时，边l减少到一个临界值LC相变。对于l> lc连续统约化成立，使得在N中的首阶，Wilson和Polyakov环中没有有限尺寸效应。这产生了令人兴奋的可能性，数值求解平面QCD的介子扇区的成本大大小于淬火SU（3）。
We present numerical evidence that, in the planar limit, four-dimensional Euclidean Yang–Mills theory undergoes a phase transition on a finite symmetrical four-torus when the length of the sides l decreases to a critical value lc. For l>lccontinuum reduction holds so that at leading order in N, there are no finite size effects in Wilson and Polyakov loops. This produces the exciting possibility of solving numerically for the meson sector of planar QCD at a cost substantially smaller than that of quenched SU(3).