论文标题
非亚伯轴向异常，轴向矢量二元性和伪级胶球
Non-Abelian axial anomaly, axial-vector duality, and the pseudoscalar glueball
论文作者
论文摘要
我们概括了A.D. Dolgov和V.I.轴向异常的分散方法。扎卡罗夫（Zakharov）遇到了一个非 - 亚伯式的案例，该案例具有任意光子虚拟人。我们得出单元电流的异常总和规则，并获得$π^0，η，η'\rightArrowγγ^*$转变形式。使用它们，我们确定了非驱动gluon矩阵元素$ \ langle 0 | g \ tilde {g} |γγγ^*（q^2）\ rangle $在空间和时间表区域中的行为。我们发现非亚伯轴向异常对一个虚拟光子的过程有显着贡献，可与电磁异常相当。观察到轴向和矢量通道之间的二元性：轴向通道中的偶性间隔和混合参数的值与矢量谐振的质量和残基有关。猜想了轻型伪粘合球状状态的可能性。
We generalize the dispersive approach to axial anomaly by A.D. Dolgov and V.I. Zakharov to a non-Abelian case with arbitrary photon virtualites. We derive the anomaly sum rule for the singlet current and obtain the $π^0,η,η'\rightarrowγγ^*$ transition form factors. Using them, we established the behavior of a nonperturbative gluon matrix element $\langle 0 |G\tilde{G} |γγ^*(q^2) \rangle$ in both spacelike and timelike regions. We found a significant contribution of the non-Abelian axial anomaly to the processes with one virtual photon, comparable to that of the electromagnetic anomaly. The duality between the axial and the vector channels was observed: the values of duality intervals and mixing parameters in the axial channel were related to vector resonances' masses and residues. The possibility of a light pseudoscalar glueball-like state is conjectured.
