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Light front Bethe-Salpeter equation applied to form factors, generalized parton distributions and generalized distribution amplitudes

机译:光前Bethe-salpeter方程应用于形状因子,广义   parton分布和广义分布振幅

摘要

We present an intuitive, light front reduction scheme for the Bethe-Salpeterequation that consists of iterations of the (light front) energy dependentcovariant equation followed by an instantaneous approximation. This scheme isequivalent to and motivates the form of a standard reduction that reproduceslight front, time ordered perturbation theory for bound states. We use thisthree-dimensional light front formalism to compute electromagnetic form factorsbetween bound states to show how higher, light front Fock components arise fromthe covariant Bethe-Salpeter wave function. Moreover, we show that non-wavefunction vertices, which arise after integration over the minus momenta, arecompletely removed in favor of higher Fock states when one correctly takes intoaccount all contributions at a given order in perturbation theory. Suchnon-wave function vertices are shown only to occur in models in which theinteractions are instantaneous. These models lack true higher Fock states. Thenormalization of the reduced wave function is derived from the covariantframework and related to nonvalence probabilities using familiar Fock spaceprojection operators. Using a simple model, we obtain expressions forgeneralized parton distributions that are continuous. The nonvanishing of thesedistributions at the crossover between kinematic regimes (where the pluscomponent of the struck quark's momentum is equal to the plus component of themomentum transfer) is tied to higher Fock components. Lastly we apply the lightfront reduction to timelike form factors and derive expressions for thegeneralized distribution amplitudes in this model.
机译:我们为Bethe-Salpeterequation提出了一种直观的光前减少方案,该方案包括迭代(光前)能量相关协变方程,然后进行瞬时逼近。该方案等效于并激发了标准简化的形式,该标准简化再现了束缚态的光前,时间有序扰动理论。我们使用三维光前形式来计算束缚态之间的电磁形状因数,以显示更高的光前Fock分量是由协变Bethe-Salpeter波函数产生的。此外,我们表明,当在扰动理论中正确考虑到给定阶数的所有贡献时,在负动量上积分之后产生的非波函数顶点将被完全移除,而转向较高的Fock状态。仅在相互作用是瞬时的模型中显示这种非波动函数顶点。这些模型缺乏真正的更高的Fock状态。归约波函数的归一化是从协变框架得出的,并且与使用熟悉的Fock空间投影算符的非价概率有关。使用一个简单的模型,我们获得连续的广义parton分布的表达式。这些分布在运动学制度之间交叉时的消失(其中撞击夸克动量的正分量等于动量传递的正分量)与较高的Fock分量相关。最后,我们将光前减少应用于类似时间的形状因子,并在该模型中导出广义分布幅度的表达式。

著录项

  • 作者

    Tiburzi, B. C.; Miller, G. A.;

  • 作者单位
  • 年度 2002
  • 总页数
  • 原文格式 PDF
  • 正文语种 {"code":"en","name":"English","id":9}
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