Bifurcation and pattern changing with two real scalar fields

Details Bifurcation and pattern changing with two real scalar fields Bifurcation and pattern changing with two real scalar fields

2008-12-17

arxiv.org/abs/0812.3234v2

Phys.Rev.D79:085007,2009

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 32 figures, published version

Scientific paper

10.1103/PhysRevD.79.085007

This work deals with bifurcation and pattern changing in models described by two real scalar fields. We consider generic models with quartic potentials and show that the number of independent polynomial coefficients affecting the ratios between the various domain wall tensions can be reduced to 4 if the model has a superpotential. We then study specific one-parameter families of models and compute the wall tensions associated with both BPS and non-BPS sectors. We show how bifurcation can be associated to modification of the patterns of domain wall networks and illustrate this with some examples which may be relevant to describe realistic situations of current interest in high energy physics. In particular, we discuss a simple solution to the cosmological domain wall problem.

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