Confinement, form factors, and deep-inelastic scattering in two-dimensional quantum chromodynamics
Confinement, form factors, and deep-inelastic scattering in two-dimensional quantum chromodynamics
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DOI：
10.1103/physrevd.14.3451
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发表时间：
1976-12
影响因子：
5
通讯作者：
M. Einhorn
中科院分区：
文献类型：
--
作者：
M. Einhorn
我们阐明了二维量子色动力学介子部分的规范不变性、红外结构和特胡夫特解的完备性。介子的电磁形状因子服从渐近幂律，其幂律是动态确定的，与理论的短距离行为无关。在回顾了强子产生的全湮灭截面之后，我们讨论了轻子的深度非弹性散射。正如预期的那样，Bjorken标度，但我们展示了如何在强子末态的总和精确地再现部分子模型。尺度函数与形状因子之间的关系满足Drell-Yan-West关系和Bloom-Gilman对偶性。最后，我们推测的适用性，我们的图片的形式因素的真实的，四维世界。我们认为，这是一个可行的替代尺寸标度和现象，我们的预测和尺寸计数规则之间的差异是轻微的轻夸克。最后，我们试图抽象的模型，这可能会引导我们走向四维问题的解决方案的功能。（AIP）
We clarify the gauge invariance, infrared structure, and completeness of 't Hooft's solution for the meson sector of two-dimensional quantum chromodynamics. Electromagnetic form factors of mesons are then shown to obey an asymptotic power law, whose power is dynamically determined and is not related to the short-distance behavior of the theory. Following a review of the total annihilation cross section for producing hadrons, we discuss deep-inelastic lepton scattering. As expected, Bjorken scaling is obtained, but we show how the sum over hadronic final states reproduces the parton model precisely. The Drell-Yan-West relation and Bloom-Gilman duality are fulfilled for the relation between the scaling function and form factors. We conclude by speculating on the applicability of our picture of form factors to the real, four-dimensional world. We argue that this is a viable alternative to dimensional scaling and, phenomenologically, the differences between our predictions and the dimensional counting rules are slight for light quarks. Finally, we attempt to abstract those features of the model which may guide us toward a solution to the four-dimensional problem. (AIP)