The Slope of the Leading Regge Trajectory in Quantum Chromodynamics
The Slope of the Leading Regge Trajectory in Quantum Chromodynamics
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DOI：
10.1016/0550-3213(80)90397-1
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发表时间：
1980
期刊：
影响因子：
--
通讯作者：
J. Gervais;A. Neveu
中科院分区：
文献类型：
--
作者：
J. Gervais;A. Neveu
量子色动力学中的威尔逊圈算符被解释为弦的创造算符。发展了一种研究其重正化性质的方法。从QCD海森堡运动方程出发，证明了它满足一个在短程近似下线性化的泛函微分方程。强子谱由这个方程的声子谱给出，而声子谱完全由重整化群参数决定。线性Regge轨迹得到，与斜率可计算的尺度违反深非弹性散射由于渐近自由。观察到一个显着的数值协议。
The Wilson loop operator in quantum chromodynamics is interpreted as a string creation operator. A method is developed to study its renormalization properties. From the QCD Heisenberg equations of motion, it is shown to satisfy a functional differential equation which linearizes in a short-range approximation. The hadron spectrum is given by the phonon spectrum of this equation, which is entirely determined by renormalization group arguments. Linear Regge trajectories are obtained, with a slope calculable in terms of the scaling violation in deep inelastic scattering due to asymptotic freedom. A remarkable numerical agreement is observed.