论文标题
重新审视全息模型中的手性有效动作
Revisiting the chiral effective action in holographic models
论文作者
论文摘要
我们在Witten-Sakai-Sugimoto模型中获得了手性Lagrangian中第四个衍生物术语的斜衰变常数和系数。我们从两杆散射幅度中提取这些数量，我们通过树级witten图直接在全息偶中计算出这些数量。手性作用中低能量系数的识别是微妙的，因为当大规模载体玻色子的塔式被整合时，其值将会改变。实际上，通过与重力双重径向模式构建手性动作的现有标准程序的直接比较，我们明确表明已经错过了有限的hooft耦合校正。这表明，可能必须重新审视全息模型的有效作用的衍生作用，并更加仔细地考虑未来的推导。
We obtain the pion decay constant and coefficients of fourth derivative terms in the chiral Lagrangian for massless quarks in the Witten-Sakai-Sugimoto model. We extract these quantities from the two-pion scattering amplitude, which we compute directly in the holographic dual through tree-level Witten diagrams. Identification of the low energy coefficients in the chiral action is subtle as their values will be shifted when the tower of massive vector bosons are integrated out. Indeed, by a direct comparison with the existing standard procedure of constructing the chiral action with radial modes in the gravity dual, we explicitly show that there are finite 't Hooft coupling corrections that have been missed. This suggests that past derivations of effective actions from holographic models may have to be revisited and future derivations more carefully considered.
