Abstract

possible role in the crossover and in mechanisms of BG. The defects in question, Z-string vortices and Nambu monopoles, have been proposed in Ref. 7). We discuss results of numerical simulations, so far restricted to the pure SU(2) Higgs model, i.e., the limit ΘW = 0. Due to dimensional reduction, the 3-D model under study includes the effects of chiral fermions (all figures in the text refer to that case). The detection of these defects requires an Abelian projection, similar to that uncovering the confining monopole dynamics in pure Yang-Mills theory. Here, how- ever, the adjoint composite matter field n a (x )= −φ + (x) σ a φ(x)/φ + (x) φ(x) (with φ being the complex Higgs doublet) offers an obvious choice of gauge for the Abelian projection. It allows to construct a magnetic charge jc (c =cube) and a vorticity σp = ∗ σ∗l (p = plaquette and ∗ l = dual link) in a gauge invariant way. For details,

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