Abstract
The authors have looked for the signature of chaos in the Abelian Higgs model and SO(3) Georgi-Glashow model, which possess vortices and monopole solutions respectively. On applying Painleve analysis they find that most of the type-I region of superconductivity in the Abelian Higgs model and lambda >2g2 region in the Georgi-Glashow model is nonintegrable (here lambda is the Higgs coupling while g is the gauge coupling constant). Further using the Toda-Brumer criterion they find that the critical energy for the onset of chaos is Ec=(11/108)(c22/c4) and Ec=m4/54 lambda in the Abelian Higgs model and Georgi-Glashow model respectively.
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