Composite Gauge fields and Broken Symmetries

Details Composite Gauge fields and Broken Symmetries Composite Gauge fields and Broken Symmetries

1995-03-14

arxiv.org/abs/hep-th/9503096v1

Phys.Rev. D52 (1995) 2379-2393

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, REVTEX

Scientific paper

10.1103/PhysRevD.52.2379

A generalization of the non-Abelian version of the $CP^{N-1}$ models (also known as Grassmannian models) is presented. The generalization helps accommodate a partial breaking of the non-Abelian gauge symmetry. Constituents of the composite gauge fields, in many cases, are naturally constrained to belong to an anomaly free representation which in turn generates a composite scalar simulating Higgs mechanism to break the gauge symmetry dynamically for large $N$. Two cases are studied in detail: one based on the SU(2) gauge group and the other on SO(10). Breakings such as SU(2)$\to$U(1) or SO(10)$\to$SU(5)$\times$U(1) are found feasible. Properties of the composites fields and gauge boson masses are computed by doing a derivative expansion of the large $N$ effective action.

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