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arXiv 0912.3173hep-lathep-ph
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具有三叶草费米子的夸克赝标顶点和夸克质量函数：自发对称性破缺，OPE，小体积对称性恢复

Quark pseudoscalar vertex and quark mass function with clover fermions : spontaneous symmetry breaking, OPE, symmetry restoration at small volume

Ph. Boucaud, J. P. Leroy, A. Le Yaouanc, J. Micheli, O. Pene, J. Rodriguez-Quintero

备注：
31 pages, 8 figures Comments added, one figure suppressed, various typos corrected
发表信息：
Phys.Rev.D81:094504,2010
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摘要：

我们研究了超立方晶格上夸克的质量函数，在很大的物理体积和截断范围内。为了避免非常大的威尔逊项假象，我们利用夸克质量函数和连续统中的赝标顶点之间的关系。我们外推到手征极限。在物理体积的函数，我们观察到一个惊人的不连续性的物理体积$L_c 6 (GeV}^{-1}=1.2 fm$周围的手征外推的属性。它存在于夸克质量函数中，它坍缩到零，以及在介子质量和夸克凝聚中，直接从赝标相关器计算。这强烈地让人想起Neuberger和Narayanan在$N_C=\infty$上观察到的相同物理长度的手征对称性恢复现象。在自发对称性破缺的情况下，我们证实，夸克质量函数的OPE，包括夸克凝聚，在可用的动量是不起作用的，即使考虑到异常大的高阶修正的威尔逊系数由Chetyrkin和Maier计算;差距仍然很大，约2倍，即使在最大的动量（p \simeg GeV），我们可以得到。

英文摘要：

We study the quark mass function on hypercubic lattices, in a large range of physical volumes and cutoffs. To avoid the very large Wilson term artefact, we exploit the relation between the quark mass function and the pseudoscalar vertex in the continuum. We extrapolate to the chiral limit. In function of the physical volume, we observe a striking discontinuity in the properties of chiral extrapolation around a physical volume $L_c 6 (GeV}^{-1}=1.2 fm$. It is present in the quark mass function, which collapses to zero, as well as in the pion mass and the quark condensate as directly calculated from the pseudoscalar correlator. It is strongly reminiscent of the phenomenon of chiral symmetry restoration observed by Neuberger and Narayanan at $N_C=\infty$ around the same physical length. In the case of spontaneous symmetry breaking, we confirm that the OPE of the quark mass function, involving the quark condensate, is not operative at the available momenta, even taking into account the unusually large high order corrections to the Wilson coefficient calculated by Chetyrkin and Maier ; the gap remains large, around a factor 2, even at the largest momenta available to us (p \simeg GeV)

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