A fully explicit renormalized quantum action functional is constructed for the O(N)-model in the auxiliary field formulation at next-to-leading order (NLO) of the 1/N expansion. Counterterms are consistently and explicitly derived for arbitrary constant vacuum expectation value of the scalar and auxiliary fields. The renormalized NLO pion propagator is exact at this order and satisfies Goldstone's theorem. Elimination of the auxiliary field sector at the level of the functional provides with order N^0 accuracy the renormalized effective action of the model in terms of the original variables. Alternative elimination of the pion and sigma propagators provides the renormalized NLO effective potential for the expectation values of the N-vector and of the auxiliary field with the same accuracy.
Renormalized O(N) model at next-to-leading order of the 1/N expansion: Effects of the Landau pole
利用可重整化性重新分析了O（N）模型中1/N展开式次首阶的显收敛贡献。与前一篇文章[G]相比，Fejos等人，Rev. D 80，025015（2009）]，进行额外的减法。我们的数值计算表明，这是必不可少的减少的截断灵敏度的朗道极点的规模以下的一些积分。按照我们的前一篇文章的方法，一个改进的反项拉格朗日构造在两粒子不可约形式主义，使用和不使用辅助场制定。
Renormalized sextic coupling constant for the two-dimensional Ising model from field theory
本文用场论重整化群方法估计了二维伊辛模型重整化六次耦合常数的普适临界值g_6^*。本文用Pade-Borel-Leroy方法计算了g_6的四圈微扰展开式，并给出了图解。在位移参数b的最佳值下，得到了迭代过程最快收敛的估计g_6^* = 1.10，g_6^*/{g_4^*}^2 = 2.94，与S. Y. Zinn，S.- N. Lai和M. E. Fisher（Phys.Rev.E54（1996）1176）从高温膨胀中得到。
Non-perturbatively Renormalized Light-Quark Masses with the Alpha Action
We have computed the light quark masses using the O(a^2) improved Alpha action, in the quenched approximation. The renormalized masses have been obtained non-perturbatively. By eliminating the systematic error coming from the truncation of the perturbative series, our procedure removes the discrepancies, observed in previous calculations, between the results obtained using the vector and the axial-vector Ward identities . It also gives values of the quark masses larger than those obtained by computing the renormalization constants using (boosted) perturbation theory. Our main results, in the R…
Heavy-quark expansion at leading power for local QCD operators in gradient flow
Central China Normal University（华中师范大学）；Institute of Particle Physics and Key Laboratory of Quark and Lepton Physics (MOE), Central China Normal University（粒子物理与夸克轻子物理教育部重点实验室（华中师范大学））；Henan Normal University（河南师范大学）；Institute of Particle and Nuclear Physics, Henan Normal University（河南师范大学粒子与核物理研究所）
