The Faddeev-Popov Determinant for the SU(2) Yang-Mills Field in Partially Dual Variables

In the present paper, the Faddeev-Popov determinant arising in the partially-dual decomposition of the SU(2) Yang-Mills field is studied. Bibliography: 4 titles.     

Phenomenological πN→ππN amplitude and the modelling of the Olsson–Turner and Chew–Low approaches

The phenomenological amplitude for the reaction πN→ππN fixed by fittings to the experimental data in the energy region 0.300 ≤P _Lab≤ 500 MeV/c is used for modelling the Chew–Low extrapolation and Olsson–Turner threshold approach. It is shown that the uncritical application of the former results in enermous theoretical errors, the extracted values being in fact random numbers. The results of the Olsson–Turner method are characterized by significant systematic errors coming from unknown details of the isobar physics. Received: 10 December 1997     

Infrared Variables for the SU(3) Yang–Mills Field

We generalize the self-dual parameterization of the SU(2) Yang–Mills field proposed by Niemi and Faddeev for describing the infrared limit of the theory to the case of the gauge group SU(3). We demonstrate that the duality property intrinsic to the SU(2) gauge field cannot be transferred automatically to the higher-rank group case. We interpret the algebraic structures appearing in the Lagrangian for the new compact variables in terms of the group products SU(2)³.     

Peculiarities of Decomposition of the SU(N) Yang–Mills Field

Several aspects of extension of the Faddeev–Niemi decomposition for the SU(2) Yang–Mills field to the case of the SU(N) gauge group are discussed. Bibliography: 4 titles.     

The mechanism of generating fermion masses in the 8-dimensional geometric theory

The fermion sector of the 8-dimensional geometric Kaluza–Klein theory of gravi-strong interactions is considered. A mechanism of generating fermion masses via conformal (Weyl) transformations is proposed. It can be regarded as geometric analogue of the Higgs mechanism in standard gauge models. In this approach it is possible to eliminate Planck masses of particles which often appear in many Kaluza–Klein models of this type.