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arXiv 1709.01191hep-phhep-th
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光阵面全息术和超共形代数的色禁闭、强子动力学和强子光谱

Color Confinement, Hadron Dynamics, and Hadron Spectroscopy from Light-Front Holography and Superconformal Algebra

Stanley J. Brodsky

备注：
To appear in the proceedings of the 5th Winter Workshop on Non-Perturbative Quantum Field Theory (WWNPQFT) at the Université de Nice, Sophia Antipolis, France, March 22-24, 2017. arXiv admin note: substantial text overlap with arXiv:1611.07194, arXiv:1601.06328, arXiv:1606.04638, arXiv:1512.05100
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摘要：

由固定LF时间量子化导出的QCD光阵面哈密顿方程提供了一种因果的、与标架无关的计算强子谱和动力学观测量的方法。de Alfaro，Fubini，and Furlan（dAFF）做了一个重要的观察，即如果在哈密顿量中增加一个与伸缩算符或特殊共形算符成比例的项，质量标度可以出现在运动方程中，而不影响作用量的共形不变性。如果将dAFF程序应用于QCD光阵面哈密顿量，则会得到介子的色限制势$κ^4 ζ^2$，其中$ζ^2$是与$q \bar q$不变质量平方共轭的LF径向变量。如果在第五维$z$中，通过在$e^{κ^2 z^2}$上的自旋来修改AdS $_5$的作用，则使用光阵面全息术可以得到相同的结果，包括自旋项。当一个推广这一过程中使用超共形代数，由此产生的光阵面本征解提供了一个统一的Regge光谱的介子，重子和四夸克，包括显着的超对称关系的质量的介子和重子和普遍的Regge斜率。π介子$q \bar q$本征态在$m_q=0.$处质量为零。超共形关系也可以推广到重轻夸克介子和重子。AdS/QCD还预测了非微扰运行耦合的解析形式，与Bjorken求和规则测量的有效电荷一致。强子质量的质量标度可以与QCD运行耦合中的质量参数联系起来。结果是在所有动量下定义的有效耦合$α_s(Q^2)$。人们还获得了经验上可行的预测类空和类时强子形状因子，结构函数，分布振幅，和横向动量分布。

英文摘要：

The QCD light-front Hamitonian equation derived from quantization at fixed LF time provides a causal, frame-independent, method for computing hadron spectroscopy and dynamical observables. de Alfaro, Fubini, and Furlan (dAFF) have made an important observation that a mass scale can appear in the equations of motion without affecting the conformal invariance of the action if one adds a term to the Hamiltonian proportional to the dilatation operator or the special conformal operator. If one applies the dAFF procedure to the QCD light-front Hamiltonian, it leads to a color confining potential $κ^4 ζ^2$ for mesons, where $ζ^2$ is the LF radial variable conjugate to the $q \bar q$ invariant mass squared. The same result, including spin terms, is obtained using light-front holography if one modifies the AdS$_5$ action by the dilaton $e^{κ^2 z^2}$ in the fifth dimension $z$. When one generalizes this procedure using superconformal algebra, the resulting light-front eigensolutions provide a unified Regge spectroscopy of meson, baryon, and tetraquarks, including remarkable supersymmetric relations between the masses of mesons and baryons and a universal Regge slope. The pion $q \bar q$ eigenstate has zero mass at $m_q=0.$ The superconformal relations also can be extended to heavy-light quark mesons and baryons. AdS/QCD also predicts the analytic form of the nonperturbative running coupling in agreement with the effective charge measured from measurements of the Bjorken sum rule. The mass scale underlying hadron masses can be connected to the mass parameter in the QCD running coupling. The result is an effective coupling $α_s(Q^2)$ defined at all momenta. One also obtains empirically viable predictions for spacelike and timelike hadronic form factors, structure functions, distribution amplitudes, and transverse momentum distributions.

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