Solitonic photons and intermediate vector bosons

Details Solitonic photons and intermediate vector bosons Solitonic photons and intermediate vector bosons

1994-03-29

arxiv.org/abs/hep-th/9403174v2

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LaTeX, CON-94-2 (a LaTeX typo is corrected)

Scientific paper

A four-dimensional topological field theory is introduced which generalises $B\wedge F$ theory to give a Bogomol'nyi structure. A class of non-singular, finite-Action, stable solutions to the variational field equations is identified. The solitonic solutions are analogous to the instanton in Yang-Mills theory. The solutions to the Bogomol'nyi equations in the topologically least complicated $U(1)$ theory have a well-behaved (covariant) phase space of dimension four---the same as that for photons. The dimensional reduction of the four-dimensional Lagrangian is also examined. Bogomol'nyi $U(2)$ solitons resembling the intermediate vector bosons $Z_o$, $W^\pm$ are identified.

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