Towards a Coulomb gas of instantons in the SO(4)xU(1) Higgs model on R4
Abstract
The SO(4)× U(1) Higgs model on 4 is extended by a F3 term so that the action receives a nonvanishing contribution from the interactions of 2-instantons and 3-instantons, and can be expressed as the inverse of the Laplacian on 4 in terms of the mutual distances of the instantons. The one-instanton solutions of both the basic and the extended models have been studied in detail numerically.
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