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Light-Front Holography and Superconformal Quantum Mechanics: A New Approach to Hadron Structure and Color Confinement

机译:光前全息和超共形量子力学:一个新的视角   强子结构与颜色限制的探讨

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摘要

A primary question in hadron physics is how the mass scale for hadronsconsisting of light quarks, such as the proton, emerges from the QCD Lagrangianeven in the limit of zero quark mass. If one requires the effective actionwhich underlies the QCD Lagrangian to remain conformally invariant and extendsthe formalism of de Alfaro, Fubini and Furlan to light-front Hamiltoniantheory, then a unique, color-confining potential with a mass parameter $\kappa$emerges. The actual value of the parameter $\kappa$ is not set by the model -only ratios of hadron masses and other hadronic mass scales are predicted. Theresult is a nonperturbative, relativistic light-front quantum mechanical waveequation, the Light-Front Schr\"odinger Equation which incorporates colorconfinement and other essential spectroscopic and dynamical features of hadronphysics, including a massless pion for zero quark mass and linear Reggetrajectories with the identical slope in the radial quantum number $n$ andorbital angular momentum $L$. The same light-front equations for mesons withspin $J$ also can be derived from the holographic mapping to QCD (3+1) at fixedlight-front time from the soft-wall model modification of AdS$_5$ space with aspecific dilaton profile. Light-front holography thus provides a preciserelation between the bound-state amplitudes in the fifth dimension of AdS spaceand the boost-invariant light-front wavefunctions describing the internalstructure of hadrons in physical space-time. One can also extend the analysisto baryons using superconformal algebra - $2 \times 2$ supersymmetricrepresentations of the conformal group. The resulting fermionic LF bound-stateequations predict striking similarities between the meson and baryon spectra.In fact, the holographic QCD light-front Hamiltonians for the states on themeson and baryon trajectories are identical if one shifts the internalangular...
机译:强子物理学中的一个主要问题是,在轻夸克质量为零的情况下,如何从QCD拉格朗日偶数中得出组成轻质夸克(如质子)的强子的质量尺度。如果有人要求采取有效行动,使QCD拉格朗日理论保持共形不变,并将de Alfaro,Fubini和Furlan的形式主义扩展到轻量级的汉密尔顿理论,那么就会出现一种具有质量参数$ \ kappa $的独特的,色彩限制的潜力。参数$ \ kappa $的实际值不是由模型设置的-仅预测了强子质量与其他强子质量比例的比率。结果是一个非扰动的相对论的光前量子力学波方程,Light-Front Schr“ odinger方程,它结合了颜色约束以及强子物理学的其他基本光谱和动力学特征,包括零夸克质量的无质量介子和具有相同斜率的线性Reggetrajectory在径向量子数$ n $和轨道角动量$ L $中,旋转$ J $的介子的相同光前方程也可以从全息图映射到固定光前时间处的QCD(3 + 1)。具特定扩张子轮廓的AdS $ _5 $空间的壁模型修改。因此,光前全息术提供了AdS空间第五维的束缚态振幅与描述强子内部结构的升压不变光前波函数之间的精确关系。也可以使用超共形代数将分析扩展到重子-2乘以2乘以3的超对称表示共形群。由此产生的铁离子LF束缚态方程预测介子光谱和重子光谱之间惊人的相似性。事实上,如果一个人改变了内角,则全息图的光子哈密顿量在主题子和重子轨迹上的状态是相同的。

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