A MODEL OF GAUGE VECTOR FIELD MASS GENERATION WITHOUT HIGGS MECHANISM
Abdullah Renreng · Hadronic J.; (United States) · 1987
A model of gauge-vector-field mass generation without Higgs mechanism is formulated under the assumption that for every vector field, a gauge transformation can be chosen and a displacement vector can be generated so that the differential operator partial/sub ..mu../ wil be displaced into D/sub ..mu../ = partial/sub ..mu../+R/sub ..mu../, where R/sub ..mu../ = R/sup a//sub ..mu../T/sup a/, with R/sup a//sub ..mu../ the components of the displacement vector and T/sup a/ the generators of Lie group. The displacement-vector components are required to be constant in magnitude and orthogonal to the four-momentum of the corresponding gauge vector fields and to their own different isospin components. The masses of the vector fields are generated through the axial coupling among the components of the displacement vector and the components of the vector field; for the case of an Abelian vector field this couplng is shown to disappear. The gauge-vector-field Lagrangian in the presence of the displacement vector is gauge-invariant under the chosen transformation, but because of the orthogonal condition and the fact that the displacement vector is constant in magnitude, many terms of the Lagrangian drop out, so the gauge invariance looks ''broken,'' but the Lorentz invariance is violated severely at high energy.