On the grounds of the BPHZ procedure, the criteria of correct regularization in perturbation calculations of QFT are given, together with the prescription for dividing the regularized formulas into the finite and infinite parts.
Evidences for die Regge exchange amplitudes with the A\(_1\) quantum numbers are studied, in particular, properties of the A\(_1\)NN, A\(_{1\rho \pi }\) and A\(_{1\varepsilon \pi }\) vertices are determined. We find that the polarization effects observed in the NN elastic scattering and the vector meson production on the polarized target are both consistent with the hypothesis of the A\(_1\) Regge pole with the theoretically predicted strength and helicity structure. Through the analysis of \(\rho \)–\(\omega \) interference effect we determine the relative phase of the A\(_1\) and Z(2\(^{--}\)) trajectories. It appears to be opposite to that expected for exchange degenerate pair.
Production mechanism of the reaction \(\pi ^-\)p \(\to \pi ^+\pi ^-\)n at 63 GeV/\(c\) is analysed in the \(\varrho \)-mass region of the dipion mass. Arguments favouring “up” solution for S-wave \(\pi \pi \) phase shift, corresponding to the low mass isoscalar resonance \(\varepsilon \)(800), are presented.
The surface contribution to the total number of transverse zero frequency photons is calculated as a gauge invariant surface integral around the tip of the light cone in the momentum space. A similar integral is introduced for nontransverse photons and is shown to be equal to \(-Q^2/\pi \), where \(Q\) is the total charge of nontransverse photons.
The following topics are discussed in this article: parity violating effects in \(e^+e^-\to 1^{--}\) resonance and the subsequent leptonic decay, the formation of 1\(^{++}\) resonances in \(e^+e^-\) annihilation, weak decays of superheavy-onia (\(M = 40\)–150 GeV), Z\(_0\) decays into- onia and photons or Higgs particles, parity mixing of -onium levels, the relative branching ratios for various charmonium channels in B-meson decays, neutrino production of charmonium.
We review an approach to gluonium based on the QCD sum rules. Emphasis is put on a new mass scale implied by the sum rules. Some manifestations of it might have already been seen in \(\eta ^{\prime }\) physics.
