Antisymmetric tensor matter fields: an abelian model

We present a simple renormalizable abelian gauge model which includes antisymmetric second-rank tensor fields as matter fields rather than gauge fields known for a long time. The free action is conformally rather than gauge invariant. The quantization of the free fields is analyzed and the one-loop renormalization-group functions are evaluated. Transverse free waves are found to convey no energy. The coupling constant of the axial-vector abelian gauge interaction exhibits asymptotically free ultraviolet behavior, while the self-couplings of the tensor fields do not asymptotically diminish.Comment: 9 pages, Pisa preprint IFUP-TH 47/9

New interactions in the radiative pion decay

The preliminary results of PIBETA experiment strongly suggest the presence of non V-A anomalous interactions in the radiative pion decay. Without a guiding idea about the nature of these new interactions it is very difficult to interpret and fit experimental data. We assume that they arise as a result of the exchange of new intermediate chiral bosons which interact anomalously with matter. Their mixing with W-bosons leads effectively to a small anomalous weak moment for W. Based on these assumptions, we show that the most general form of the radiative pion decay rate can be parametrized by three new coupling constants of the anomalous interactions.Comment: 7 pages, no figure

On the CVC problem in tau-decay

The preliminary results of PIBETA experiment strongly suggest the presence of non V-A anomalous interactions in the radiative pion decay. We assume that they arise as a result of the exchange of new intermediate chiral spin-1 bosons which interact anomalously with matter. Their contribution into the tau-decay leads to violation of the CVC hypothesis at the same level as detected experimentally.Comment: 5 pages, 1 figur

On the two kinds of vector particles

All known elementary vector particles, the photon, Z, W and the gluons, are described by the gauge theory. They belong to the real representation (1/2,1/2) of the Lorentz group. On the other hand inequivalent representations (1,0) and (0,1) also correspond to particles with spin 1. It is natural to suppose that, along with the known vector particles, the new particles can exist. Evidence for the existence of these particles in nature is the presence of the axial-vector meson resonances with quantum numbers 1^{+-}. Other indications for their existence are discussed. The signatures of their contributions into different physical processes are presented.Comment: 4 pages, no figure