Gauge Theories for Target Spaces with Degenerate Metrics

Abstract

Some gauge theories for fiber target spaces with degenerate metrics are regarded. The gauge theory with Galilei group G(2) is obtained as a contraction of SO(2) gauge theory with Higgs mechanism. The analogue of the standard electroweak theory for contracted SU(2) group is considered. It is shown that the gauge field theory with degenerate metrics in target (matter) field space describe the same set of fields and particle mass as initial one, if Lagrangians in the base and in the fiber both are taken into account. Such theory based on non-semisimple contracted group provide more simple field interactions as compared with initial one. The conjecture is advanced that Higgs boson being an artefact of the Higgs mechanism is unobservable.