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Feynman's Branes and Feynman's Oscillators

机译：费曼的布拉内斯和费曼的振荡器

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Based on Feynman's lifetime efforts on quantum mechanics and relativity, itis concluded that the basic difference between field theory and string theoryis that field theory is based on running waves while string theory should dealwith standing waves in the Lorentz-covariant regime. At the 1970 spring meeting of the American Physical Society held inWashington, DC, R. P. Feynman stunned the audience by proposing harmonicoscillators for relativistic bound states, instead of Feynman diagrams. Histalk was later published in the paper of Feynman, Kislinger, and Ravndal [Phys.Rev. D, Vol. 3, 2706 (1971)]. These authors noted that the hadron mass spectracan be predicted by the degeneracy of the three-dimensional harmonicoscillators. In so doing, they started with the Lorentz-invariant differentialequation for the harmonic oscillator, and obtained Lorentz invariant solutions.However, their solutions are not normalizable in the time-separation variableand cannot carry probability interpretation. It is pointed out that there aresolutions normalizable in the time-separation variable within the framework ofWigner's little-group representation of the Poincar\'e group. These solutionsare not invariant but covariant under Lorentz transformations. These solutionsgive a covariant bound-state model which gives the quark model and the partonmodel as two different limiting cases, in the low- and high-speed limitsrespectively.
机译：根据费曼一生对量子力学和相对论所做的努力，艾蒂斯得出结论，场论与弦论之间的基本区别在于，场论基于运行波，而弦论应处理洛伦兹协变体制中的驻波。在1970年春季在华盛顿特区举行的美国物理学会春季会议上，R。P. Feynman提出了相对论界态的谐振子，而不是Feynman图，从而使观众震惊。 Histalk后来发表在Feynman，Kislinger和Ravndal的论文中。 D卷3，2706（1971）]。这些作者指出，强子质谱可以通过三维谐波振荡器的简并性来预测。这样，他们从谐波振荡器的Lorentz不变微分方程开始，获得了Lorentz不变解。但是，它们的解决方案在时间分隔变量中无法归一化，并且不能进行概率解释。指出在维纳的庞加莱群的小群表示的框架内，在时间分离变量中存在可归一化的分辨率。在Lorentz变换下，这些解不是不变的，而是协变的。这些解决方案给出了协变约束状态模型，该模型分别将夸克模型和parton模型作为两个不同的极限情况，分别在低速和高速范围内。

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    Kim, Y. S.; Noz, Marilyn E.;

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  • 年度 2004
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