Four-dimensional symmetry from a broad viewpoint

Abstract

We propose a finite and unitary quantum «elecweakdynamics» with the «SU2×U1 structure» which may not have the full gauge symmetry. The Higgs scalar fields are not necessary. Gaugeboson massesMW andMZ can be generated by kinematical symmetry-breaking due to the coupling of vacuum fields and gauge fields. It is a local interaction theory formulated on the basis of i) a new principle of universal probability distributionP(p, m) for field oscillators of all fields and ii) the new four-dimensional symmetry framework of «common relativity». We do not employ the four-dimensional framework of special relativity because it is too restrictive to allow the universal probability principle. This principle introduces a radical lengthR into physics and changes drastically the high-energy behaviour of propagators. It makes the theory finite without upsetting unitarity. We show how scattering cross-sections, static electric potential and particle decay in flight are affected by the universal probability principle. These modifications can be tested experimentally.