Minimal Ward–Takahashi Vertices and Light Cone Pion Distribution Amplitudes from the GND Quark Model
LI Chuan1 , JIANG Shao-Zhou3 , WANG Qing1,2**
1 Department of Physics, Tsinghua University, Beijing 1000842 Center for High Energy Physics, Tsinghua University, Beijing 1000843 College of Physics Science and Technology, Guangxi University, Nanning 530004
Abstract ：The gauge-invariant, nonlocal, dynamical quark model is shown to generate minimal vertices that satisfy the Ward–Takahashi identities and the flat-like form of the light-cone pion distribution amplitudes. Non-flat form amplitudes can be produced only if we take a finite momentum cutoff and include nonzero pion mass corrections or go beyond the minimal vertices. A by-product of our investigation shows that the variable u appearing in light-cone pion distribution amplitudes is just the standard Feynman parameter in the Feynman parameter integrals.
收稿日期: 2013-05-03
出版日期: 2013-11-21
:
11.10.Lm
(Nonlinear or nonlocal theories and models)
12.39.-x
(Phenomenological quark models)
13.40.Gp
(Electromagnetic form factors)
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2013, Vol. 30 
