Gauge Theories for Target Spaces with Degenerate Metrics

TL;DR

This paper explores gauge theories with degenerate metrics in target spaces, showing they can replicate particle spectra of standard models with simpler interactions, and questions the observability of the Higgs boson.

Contribution

It introduces gauge theories with degenerate metrics derived from contractions of standard gauge groups, simplifying interactions and challenging the necessity of the Higgs boson.

Findings

Gauge theories with degenerate metrics can reproduce the same particle spectrum.

Contracted gauge groups lead to simpler field interactions.

The Higgs boson may be an unobservable artefact of the Higgs mechanism.

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.