The explicit expression of the transverse photon wavefunction φγ⊥(u, p2) at the leading twist with the on-shell and the off-shell momenta are calculated in the effective low-energy theory derived from the instant...The explicit expression of the transverse photon wavefunction φγ⊥(u, p2) at the leading twist with the on-shell and the off-shell momenta are calculated in the effective low-energy theory derived from the instanton vacuum of QCD, where both the space-like region as well as the time-like one of the momenta for the virtual photons are investigated. In addition, the problem about the consistency between the two different definitions of the transverse photon wavefunction with chiral-odd Dirac structure, σμν, has been considered, and proven to be true at the leading order by means of the sum rule method. A brief discussion of the dependence of the transverse light-cone photon wavefunction φγ⊥(u, p2) and its coupling, Fγ^⊥(u, P2) to the corresponding quark-antiquark current with respect to p^2, and that about the end-point behaviour of the transverse photon wavefunction is given.展开更多
Within the framework of the low-energy effective theory arising from the instanton vacuum model of QCD, the longitudinal virtual photon light-cone wavefunction, ФγⅡ(u, P^2), corresponding to the nonlocal quark-an...Within the framework of the low-energy effective theory arising from the instanton vacuum model of QCD, the longitudinal virtual photon light-cone wavefunction, ФγⅡ(u, P^2), corresponding to the nonlocal quark-antiquark vector current is calculated at the low-energy scale. The coupling constant, Fγ(P^2) or equivalently fγ(P^2), of the quark antiquark vector current to the virtual photon state is also obtained by imposing the normalization condition to the photon wavefunction. The behaviour of the coupling constant as well as the obtained photon wavefunction is discussed.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No 10075036, the BEPC National Laboratory Project R&D and BES Collaboration Research Foundation.
文摘The explicit expression of the transverse photon wavefunction φγ⊥(u, p2) at the leading twist with the on-shell and the off-shell momenta are calculated in the effective low-energy theory derived from the instanton vacuum of QCD, where both the space-like region as well as the time-like one of the momenta for the virtual photons are investigated. In addition, the problem about the consistency between the two different definitions of the transverse photon wavefunction with chiral-odd Dirac structure, σμν, has been considered, and proven to be true at the leading order by means of the sum rule method. A brief discussion of the dependence of the transverse light-cone photon wavefunction φγ⊥(u, p2) and its coupling, Fγ^⊥(u, P2) to the corresponding quark-antiquark current with respect to p^2, and that about the end-point behaviour of the transverse photon wavefunction is given.
基金Supported by the National Natural Science Foundation of China under Grant No 10075036, the BEPC National Laboratory Project R&D and BES Collaboration Research Foundation.
文摘Within the framework of the low-energy effective theory arising from the instanton vacuum model of QCD, the longitudinal virtual photon light-cone wavefunction, ФγⅡ(u, P^2), corresponding to the nonlocal quark-antiquark vector current is calculated at the low-energy scale. The coupling constant, Fγ(P^2) or equivalently fγ(P^2), of the quark antiquark vector current to the virtual photon state is also obtained by imposing the normalization condition to the photon wavefunction. The behaviour of the coupling constant as well as the obtained photon wavefunction is discussed.