Hadron spectroscopy and structure from AdS/CFT
Hadron spectroscopy and structure from AdS/CFT
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DOI：
10.1140/epja/i2006-10221-7
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发表时间：
2006-10
期刊：
影响因子：
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通讯作者：
S. Brodsky
中科院分区：
文献类型：
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作者：
S. Brodsky
共形场论与扩展时空中的弦态之间的AdS/CFT对应不仅为强子谱，而且也为它们的光波前波函数提供了新的见解。我们证明了反德西特空间z的第五维坐标与一个特定的影响变量φ之间存在着精确的对应关系，它测量了普通时空中强子内部成分的分离。这种联系使我们能够预测介子和重子的光阵面波函数的形式，介子和重子是编码强子性质和散射振幅的基本实体。一个新的相对论薛定谔光阵面方程的发现，再现使用五维理论所获得的结果。由于AdS/CFT模型的波函数是完备的和正交的，因此它可以作为变分处理的初值，也可以作为光阵面QCD哈密顿量对角化的基础。本文还讨论了波前波函数的一些应用。
The AdS/CFT correspondence between conformal field theory and string states in an extended space-time has provided new insights into not only hadron spectra, but also their light-front wave functions. We show that there is an exact correspondence between the fifth-dimensional coordinate of anti-de Sitter spacezand a specific impact variable ζ, which measures the Separation of the constituents within the hadron in ordinary space-time. This connection allows one to predict the form of the light-front wave functions of mesons and baryons, the fundamental entities which encode hadron properties and scattering amplitudes. A new relativistic Schrödinger light-front equation is found which reproduces the results obtained using the fifth-dimensional theory. Since they are complete and orthonormal, the AdS/CFT model wave functions can be used as an initial ansatz for a variational treatment or as a basis for the diagonalization of the light-front QCD Hamiltonian. A number of applications of light-front wave functions are also discussed.