论文标题
鬼魂的出现在粘合球散射中曾经提取的壳单位化中
Emergence of ghost in once-subtracted on-shell unitarization in glueball-glueball scattering
论文作者
论文摘要
我们使用众所周知的Dilaton电位研究了纯YM理论中两个标量粘合球的散射。正如Lattice QCD所预测的那样，考虑到大约$ m_g \ $ m_g \ gev的胶球质量约为1.7 $ GEV。我们从树级理论开始，但是关于结合状态存在的问题需要更深入的研究需要回答。因此，我们通过一个由单个粘合球共振极处的单个减法组成的自能环函数将理论统一。我们表明，这种选择是不一致的，因为它导致了具有负面规范的幽灵状态的出现。该问题与在反向单位化振幅扩展的一阶项中的系数符号有关。我们简要讨论该解决方案，该解决方案包括循环函数中的额外减法，如Eur.phys.j.c 82（2022）5，487所示。
We investigate the scattering of two scalar glueballs in pure YM theory, using the well known dilaton potential. We perform the calculations considering a glueball mass of about $m_G \approx 1.7$ GeV, as predicted by lattice QCD. We begin with the tree-level theory, but the question about the presence of a bound state needs a deeper study to be answered. Thus we unitarize the theory through a self energy loop function consisting of a single subtraction at the single glueball resonance pole. We show that this choice is inconsistent as it leads to the emergence of a ghost-like state with negative norm. This problem is related with the sign of the coefficient in the first order term of the expansion of the reverse unitarized amplitude. We briefly discuss the solution which consists of an additional subtraction in the loop function, as presented in Eur.Phys.J.C 82 (2022) 5, 487.
