论文标题
手性异常在两极分化的深度非弹性散射I中的作用：在Bjorken的框图内找到三角形图和渐进性
The role of the chiral anomaly in polarized deeply inelastic scattering I: Finding the triangle graph inside the box diagram in Bjorken and Regge asymptotics
论文作者
论文摘要
我们重新审视了手性“三角”异常在使用强大的世界形式主义的偏光质子上深度弹性散射（DIS）中的作用。我们演示了三角形异常在偏光质子结构函数的DIS框图中如何出现$ g_1（x_b，q^2）$，这两个$ q^2 $的bjorken限制和小$ x_b $的regge极限。我们表明，尽管在Bjorken限制中足够，但不需要操作员产品扩展即可提取任何渐近造物中的异常。同样，异常中的红外杆在两个限制上都出现。因此，在Bjorken和Regge渐近学中，对$ G_1 $的主要贡献是由拓扑充电密度的期望值给出的，从而推广了Jaffe和Manohar先前在$ G_1 $ $ G_1 $中持有的结果。在后续工作中，我们将展示我们的结果如何激发螺旋性依赖性有效动作的推导，该动作纳入了小$ x_b $，并将在此框架中讨论$ g_1（x_b，q^2）$的QCD演变。
We revisit the role of the chiral "triangle" anomaly in deeply inelastic scattering (DIS) of electrons off polarized protons employing a powerful worldline formalism. We demonstrate how the triangle anomaly appears at high energies in the DIS box diagram for the polarized proton structure function $g_1(x_B,Q^2)$ in both the Bjorken limit of large $Q^2$ and in the Regge limit of small $x_B$. We show that the operator product expansion is not required to extract the anomaly in either asymptotics though it is sufficient in the Bjorken limit. Likewise, the infrared pole in the anomaly arises in both limits. The leading contribution to $g_1$, in both Bjorken and Regge asymptotics, is therefore given by the expectation value of the topological charge density, generalizing a result previously argued by Jaffe and Manohar to hold for the first moment of $g_1$. In follow-up work, we will show how our results motivate the derivation of a helicity-dependent effective action incorporating the physics of the anomaly at small $x_B$ and shall discuss the QCD evolution of $g_1(x_B,Q^2)$ in this framework.
