夸克数磁化率的分歧：起源和治疗
Divergences in the quark number susceptibility : The origin and a cure
摘要：
格点上的夸克数磁化率，只需要加上一个$μN$项，其中$μ$为化学势，$N$为守恒夸克数，在截止$a$处有二次发散。我们表明，这样的分歧已经存在的自由费米子与截止调节器。虽然人们可以在自由格点理论中通过适当地修改作用量来消除它，就像通常做的那样，但它也可以简单地减去。计算更高阶的量子相干性，需要估计QCD临界点的位置，那么在任何阶数下需要的夸克传播子的数量就少得多。我们表明，这种方法的发散消除工程的相互作用理论。
英文摘要：
Quark number susceptibility on the lattice, obtained by merely adding a $μN$ term with $μ$ as the chemical potential and $N$ as the conserved quark number, has a quadratic divergence in the cut-off $a$. We show that such a divergence already exist for free fermions with a cut-off regulator. While one can eliminate it in the free lattice theory by suitably modifying the action, as is popularly done, it can simply be subtracted off as well. Computations of higher order susceptibilities, needed for estimating the location of the QCD critical point, then need a lot fewer number of quark propagators at any order. We show that this method of divergence removal works in the interacting theory.
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