夸克-强子对偶的破坏(OPE中的振荡丢失)
Violation of Quark-Hadron Duality (The missing oscillation in the OPE)
摘要:
夸克-强子对偶违反的起源与谱函数的拉普拉斯变换的奇异性有关。借助于大$N_c$近似的一般性质和Regge理论中径向轨迹的一般形式,我们可以在复平面上找到这些奇点,并得到与一般期望一致的DV表达式。使用两点矢量相关器作为测试实验室,我们展示了通常的色散关系如何可能会引起微扰理论,从冷凝膨胀和DV的功率修正。
英文摘要:
The origin of quark-hadron Duality Violations (DVs) can be related to the sigularities of the Laplace transform of the spectral function. With the help of rather generic properties of the large-$N_c$ approximation and a generalized form for the radial trajectories found in Regge Theory, we may locate these singularities in the complex plane and obtain an expression for the DVs which turns out to agree with general expectations. Using the two-point vector correlator as a test laboratory, we show how the usual dispersion relation may give rise to perturbation theory, the power corrections from the condensate expansion and DVs.
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