AdS/CFT与QCD中的互斥过程
AdS/CFT and Exclusive Processes in QCD
摘要：
AdS空间中的弦论和物理时空中的共形场论之间的AdS/CFT对应导致了强耦合QCD的解析的半经典模型，该模型在短距离处具有标度不变性和维数计数，在大距离处具有色禁闭。人们可以用全息术把描述第五维Anti-de Sitter空间中强子态的振幅映射到物理时空中强子的光阵面波函数，从而在振幅水平上提供了QCD中强子的相对论描述。特别是，我们表明，有一个确切的对应关系之间的第五维坐标的AdS空间z和一个特定的影响变量zeta的措施分离的夸克和胶子成分内的强子在普通的时空。新的相对论性的光阵面方程在普通时空中，然后可以得出重现使用5维理论所获得的结果。有效的光阵面方程具有优美的代数结构和可积性。AdS和光阵面表示之间的这种联系使得我们能够计算与标架无关的光阵面波函数的解析形式，这些波函数是编码强子性质的基本实体，并允许计算衰变常数、形状因子、深虚康普顿散射、排他性重强子衰变和其他排他性散射振幅。作为具体的例子，我们计算了π耦合常数，并研究了π形状因子在类空间和类时间区域的行为。我们还确定了类空区质子和中子的狄拉克形状因子。
英文摘要：
The AdS/CFT correspondence between string theory in AdS space and conformal field theories in physical space-time leads to an analytic, semi-classical model for strongly-coupled QCD which has scale invariance and dimensional counting at short distances and color confinement at large distances. One can use holography to map the amplitude describing the hadronic state in the fifth dimension of Anti-de Sitter space to the light-front wavefunctions of hadrons in physical space-time, thus providing a relativistic description of hadrons in QCD at the amplitude level. In particular, we show that there is an exact correspondence between the fifth-dimensional coordinate of AdS space z and a specific impact variable zeta which measures the separation of the quark and gluonic constituents within the hadron in ordinary space-time. New relativistic light-front equations in ordinary space-time can then be derived which reproduce the results obtained using the 5-dimensional theory. The effective light-front equations possess elegant algebraic structures and integrability properties. This connection between the AdS and the light-front representations allows one to compute the analytic form of the frame-independent light-front wavefunctions, the fundamental entities which encode hadron properties and allow the computation of decay constants, form factors, deeply virtual Compton scattering, exclusive heavy hadron decays and other exclusive scattering amplitudes. As specific examples we compute the pion coupling constant and study the behavior of the pion form factor in the space and time-like regions. We also determine the Dirac form factors of the proton and neutron in the space-like region.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
