Recent lattice results strongly support the Axionic String Ansatz (ASA) for quantum numbers of glueballs in 3D Yang-Mills theory. The ASA treats glueballs as closed bosonic strings. The corresponding worldsheet theory is a deformation of the minimal Nambu-Goto theory. In order to understand better the ASA strings and as a first step towards a perturbative calculation of the glueball mass splittings we compare the ASA spectrum to the closed effective string theory. Namely, we model glueballs as excitations around the folded rotating rod solution with a large angular momentum J. The resulting spectrum agrees with the ASA in the regime of validity of the effective theory, i.e., in the vicinity of the leading Regge trajectory. In particular, closed effective string theory correctly predicts that only glueballs of even spin J show up at the leading Regge trajectory. Interestingly though, the closed effective string theory overestimates the number of glueball states far above the leading Regge trajectory.

最近的晶格结果强烈支持 3D Yang-Mills 理论中胶球量子数的 Axionic String Ansatz (ASA)。ASA 将胶球视为封闭的玻色弦。相应的世界表理论是最小 Nambu-Goto 理论的变形。为了更好地理解 ASA 弦，并且作为胶球质量分裂微扰计算的第一步，我们将 ASA 谱与封闭有效弦理论进行了比较。也就是说，我们将胶球建模为围绕具有大角动量J的折叠旋转杆解决方案的激发. 由此产生的频谱在有效理论的有效性范围内与 ASA 一致，即在领先的 Regge 轨迹附近。特别是，封闭有效弦理论正确地预测只有偶数自旋J 的胶球出现在领先的 Regge 轨迹上。有趣的是，封闭有效弦理论高估了远高于领先 Regge 轨迹的胶球状态的数量。