A Class of Nonperturbative Configurations in Abelian-Higgs Models: Complexity from Dynamical Symmetry Breaking

Abstract

We present a numerical investigation of the dynamics of symmetry breaking in both Abelian and non-Abelian $[SU(2)]$ Higgs models in three spatial dimensions. We find a class of time-dependent, long-lived nonperturbative field configurations within the range of parameters corresponding to type-1 superconductors, that is, with vector masses ($m_v$) larger than scalar masses ($m_s$). We argue that these emergent nontopological configurations are related to oscillons found previously in other contexts. For the Abelian-Higgs model, our lattice implementation allows us to map the range of parameter space -- the values of $\beta =(m_s/m_v{)}^2$ -- where such configurations exist and to follow them for times $t\sim Ø(10^5)m^{-1}$. An investigation of their properties for $\hat{z}$-symmetric models reveals an enormously rich structure of resonances and mode-mode oscillations reminiscent of excited atomic states. For the SU(2) case, we present preliminary results indicating the presence of similar oscillonic configurations.

21 pages, 19 figures, prd, revtex

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