The two pion exchange potentials are evaluated by carrying out the numerical integrations of three Feynman parameters in the corresponding Feynman diagrams. The two pion exchange potentials give rise to the attractive...The two pion exchange potentials are evaluated by carrying out the numerical integrations of three Feynman parameters in the corresponding Feynman diagrams. The two pion exchange potentials give rise to the attractive force which is quite similar to the effective scalar meson with its mass of ms≃4.7mπ and its strength of at T = 0 channel. However, there is a strong isospin dependence of (t1·t2)2 which should be different from the phenomenological σ-meson exchange calculations. Therefore, the medium range attraction of the T = 0 nuclear interaction should be due to the two pion exchange processes, but the T = 1 channel is still an open problem.展开更多
We review the physics of chiral anomaly and show that the anomaly equation of δμJμ5 =e216π2εμνρδ FμνFρδis not connected to any physical observables. This is based on the fact that the reaction process of ...We review the physics of chiral anomaly and show that the anomaly equation of δμJμ5 =e216π2εμνρδ FμνFρδis not connected to any physical observables. This is based on the fact that the reaction process of π0→2γ has no diver- gence at all, and the triangle diagrams with the vertex of γμγ5 describing the Z0→2γ decay do not have any di- vergences either. The recent calculated branching ratio of the Z0→2γ decay rate is found to be ГZ0→2γ/Г□2.4×10-8. Further, we discuss the anomaly equation in the Schwinger model which is known as δμJμ5=e2πεμνFμν , and prove that this anomaly equation disagrees with the exact value of the chiral charge δ5=±1 in the Schwinger vacuum. Therefore, the chiral anomaly is a spurious effect induced by the regularization. In connection with the anomaly prob- lem, we clarify the physical meaning why the self-energy of photon should not be included in the renormalization scheme. Also, we present the renormalization scheme in weak interactions without Higgs particles, and this is achieved with a new propagator of massive vector bosons, which does not give rise to any logarithmic divergences in the vertex corrections. Therefore, there is no necessity of the renormalization procedure of the vertex corrections arising from the weak vector boson propagation.展开更多
discuss a serious problem related to the Higgs mechanism and show that the unitary gauge which imposes the condition of ф=ф÷ on the Higgs fields does not correspond to a proper gauge fixing. Instead, this is si...discuss a serious problem related to the Higgs mechanism and show that the unitary gauge which imposes the condition of ф=ф÷ on the Higgs fields does not correspond to a proper gauge fixing. Instead, this is simply a procedure for producing the massive vector boson fields by hand. This suggests that the Lagrangian density of the weak interactions should be reconsidered by starting from the massive vector boson fields which couple to the fermion currents as the initial ingredients. Here, it is shown that the new renormalization scheme with massive vector bosons has no intrinsic problem and the massive vector boson fields do not give rise to any divergences for the physical observables in the renormalization scheme.展开更多
文摘The two pion exchange potentials are evaluated by carrying out the numerical integrations of three Feynman parameters in the corresponding Feynman diagrams. The two pion exchange potentials give rise to the attractive force which is quite similar to the effective scalar meson with its mass of ms≃4.7mπ and its strength of at T = 0 channel. However, there is a strong isospin dependence of (t1·t2)2 which should be different from the phenomenological σ-meson exchange calculations. Therefore, the medium range attraction of the T = 0 nuclear interaction should be due to the two pion exchange processes, but the T = 1 channel is still an open problem.
文摘We review the physics of chiral anomaly and show that the anomaly equation of δμJμ5 =e216π2εμνρδ FμνFρδis not connected to any physical observables. This is based on the fact that the reaction process of π0→2γ has no diver- gence at all, and the triangle diagrams with the vertex of γμγ5 describing the Z0→2γ decay do not have any di- vergences either. The recent calculated branching ratio of the Z0→2γ decay rate is found to be ГZ0→2γ/Г□2.4×10-8. Further, we discuss the anomaly equation in the Schwinger model which is known as δμJμ5=e2πεμνFμν , and prove that this anomaly equation disagrees with the exact value of the chiral charge δ5=±1 in the Schwinger vacuum. Therefore, the chiral anomaly is a spurious effect induced by the regularization. In connection with the anomaly prob- lem, we clarify the physical meaning why the self-energy of photon should not be included in the renormalization scheme. Also, we present the renormalization scheme in weak interactions without Higgs particles, and this is achieved with a new propagator of massive vector bosons, which does not give rise to any logarithmic divergences in the vertex corrections. Therefore, there is no necessity of the renormalization procedure of the vertex corrections arising from the weak vector boson propagation.
文摘discuss a serious problem related to the Higgs mechanism and show that the unitary gauge which imposes the condition of ф=ф÷ on the Higgs fields does not correspond to a proper gauge fixing. Instead, this is simply a procedure for producing the massive vector boson fields by hand. This suggests that the Lagrangian density of the weak interactions should be reconsidered by starting from the massive vector boson fields which couple to the fermion currents as the initial ingredients. Here, it is shown that the new renormalization scheme with massive vector bosons has no intrinsic problem and the massive vector boson fields do not give rise to any divergences for the physical observables in the renormalization scheme.
