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arXiv 1402.6033hep-ph
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QCD低能有效理论中的离壳层光子分布振幅

Off-shell photon distribution amplitudes in the low-energy effective theory of QCD

Xin Mo, Jueping Liu

摘要:

基于Lorentz协变性原理,将离壳光子态到真空态的跃迁矩阵元分解为光锥光子DA,其中只有两个横向DA存在于壳层极限。在量子色动力学(QCD)的瞬子真空模型中,系统地研究了对应于手征奇、手征偶直至扭四的八个离壳光锥光子分布振幅(DA)以及相应的耦合常数。用关联函数表示各个单个光子DA乘以相应的耦合常数,关联函数与有效夸克传播子的谱密度相联系,然后用QCD的瞬子真空模型导出的低能有效理论计算。给出了光子DA及其耦合常数的显式解析表达式和数值结果。

英文摘要:

Based on the principle of the Lorentz covariance the transition matrix elements from an off-shell photon state to the vacuum are decomposed into the light-cone photon DAs, in which only two transversal DAs survive in the on-shell limit. The eight off-shell light-cone photon distribution amplitudes (DAs) corresponding to chiral-odd and chiral-even up to twist-four and the corresponding coupling constants are studied systematically in the instanton vacuum model of quantum chromodynamics (QCD). The various individual photon DA multiplied by its corresponding coupling constant is expressed in terms of the correlation functions, which are connected with the spectral densities of an effective quark propagator, and then evaluated in the low-energy effective theory derived from the instanton vacuum model of QCD. The explicit analytical expressions and the numerical results for the photon DAs and their coupling constants are given.

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