What's up with IR gluon and ghost propagators in Landau gauge? An answer from huge lattices
What's up with IR gluon and ghost propagators in Landau gauge? An answer from huge lattices
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DOI：
10.22323/1.042.0297
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发表时间：
2007-10
期刊：
影响因子：
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通讯作者：
A. Cucchieri;T. Mendes
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文献类型：
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作者：
A. Cucchieri;T. Mendes
几种解析方法预言了在小动量下，朗道规范下SU（Nc）Yang-Mills理论的增强鬼传播子G（p2）和抑制胶子传播子D（p2）。这种预测适用于二维、三维和四维时空。此外，胶子传播子在p = 0时被预言为零。几个小组的数值研究确实支持一个增强的鬼传播相比，树级行为1/p 2和有限红外胶子传播。然而，分析和数值研究之间的协议，只是在定性层面上的三个和四个方面。特别地，鬼传播子的推断指数似乎小于解析预测的指数，并且胶子传播子似乎在零动量时显示出（有限）非零值。有人认为，一旦在比目前使用的大得多的晶格尺寸上进行模拟，这种差异可能会消失。在这里，我们使用标度区域中的巨大晶格来呈现三维和四维时空中的数据，即在β = 3.0时高达320 3，在β = 2.2时高达128 4，对应于V（85 fm）3和V（27 fm）4。在圣保罗大学的IBM超级计算机上进行了模拟。
Several analytic approaches predict for SU(Nc) Yang-Mills theories in Landau gauge an enhanced ghost propagator G(p 2 ) and a suppressed gluon propagator D(p 2 ) at small momenta. This prediction applies to two, three and four space-time dimensions. Moreover, the gluon propagator is predicted to be null at p = 0. Numerical studies by several groups indeed support an enhanced ghost propagator when compared to the tree-level behavior 1/p 2 and a finite infrared gluon propagator. However, the agreement between analytic and numerical studies is only at the qualitative level in three and in four dimensions. In particular, the inf rared exponent of the ghost propagator seems to be smaller than the one predicted analytically and the gluon propagator seems to display a (finite) nonzero value at zero momentum. It has been arg ued that this discrepancy might go away once simulations are done on much larger lattice sizes than the ones used up to now. Here we present data in three and four space-time dimensions using huge lattices in the scaling region, i.e. up to 320 3 at β = 3.0 and up to 128 4 at β = 2.2, corresponding to V ≈ (85 fm) 3 and V ≈ (27 fm) 4 . Simulations have been done on the IBM supercomputer at the University of Sao Paulo.