Finite size scaling of meson propagators with isospin chemical potential
Finite size scaling of meson propagators with isospin chemical potential
复制标题
具有同位旋化学势的介子传播体的有限尺寸缩放
DOI：
10.1088/1126-6708/2008/12/069
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发表时间：
2008
影响因子：
5.4
通讯作者：
C. Marseille
中科院分区：
文献类型：
--
作者：
G. Akemann;F. Basile;L. University;U. Pisa;C. Marseille
我们确定了在同位旋化学势存在和固定量规场拓扑下，N＿f-flavour QCD中标量和伪标量两点函数的体积和质量依赖关系。我们在手性微扰理论的\epsilon -展开式中得到了这些二阶结果，并解析地求出了所有相关的零模群积分。使用不消失的化学势的优点是，它提供了依赖于手性凝聚物\Sigma和介子衰变常数F的相关函数，它们已经处于领先阶。因此，我们的结果可能有助于改进晶格QCD计算中这些常数的确定。作为副产物，我们修正了早先对配分函数中出现的衰减常数的O（\epsilon ^2）有限体积修正的计算。我们还计算了一个用于求U（N＿f）群积分的广义配分函数。
We determine the volume and mass dependence of scalar and pseudoscalar two-point functions in N_f-flavour QCD, in the presence of an isospin chemical potential and at fixed gauge-field topology. We obtain these results at second order in the \epsilon-expansion of Chiral Perturbation Theory and evaluate all relevant zero-mode group integrals analytically. The virtue of working with a non-vanishing chemical potential is that it provides the correlation functions with a dependence on both the chiral condensate, \Sigma, and the pion decay constant, F, already at leading order. Our results may therefore be useful for improving the determination of these constants from lattice QCD calculations. As a side product, we rectify an earlier calculation of the O(\epsilon^2) finite-volume correction to the decay constant appearing in the partition function. We also compute a generalised partition function which is useful for evaluating U(N_f) group integrals.