Bifurcation and pattern changing with two real scalar fields
arXiv:0812.3234 · doi:10.1103/PhysRevD.79.085007
Abstract
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.
10 pages, 32 figures, published version
References in corpus (7)
- Dynamics of domain wall networks with junctions
- Frustrated Expectations: Defect Networks and Dark Energy
- Defect Junctions and Domain Wall Dynamics
- Scaling of cosmological domain wall networks with junctions
- Dynamics of Biased Domain Walls and the Devaluation Mechanism
- Relaxing to a three dimensional brane junction
- Devaluation: a dynamical mechanism for a naturally small cosmological constant
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