Tunneling decay of false domain walls: the silence of the lambs

@article{Haberichter2015TunnelingDO,
  title={Tunneling decay of false domain walls: the silence of the lambs},
  author={Mareike Haberichter and Richard MacKenzie and M. B. Paranjape and Yvan Ung},
  journal={arXiv: High Energy Physics - Theory},
  year={2015}
}
We study the decay of "false" domain walls, which are metastable states of the quantum theory where the true vacuum is trapped inside the wall, with the false vacuum outside. We consider a theory with two scalar fields, a shepherd field and a field of sheep. The shepherd field serves to herd the solitons of the sheep field so that they are nicely bunched together. However, quantum tunnelling of the shepherd field releases the sheep to spread out uncontrollably. We show how to calculate the… 
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References

SHOWING 1-10 OF 15 REFERENCES

Tunneling decay of false kinks

We consider the decay of “false kinks,” that is, kinks formed in a scalar field theory with a pair of degenerate symmetry-breaking false vacua in 1+1 dimensions. The true vacuum is symmetric. A

Tunneling decay of false vortices

We consider the decay of vortices trapped in the false vacuum of a theory of scalar electrodynamics in 2+1 dimensions. The potential is inspired by models with intermediate symmetry breaking to a

Fate of the false monopoles: Induced vacuum decay

We study a gauge theory model where there is an intermediate symmetry breaking to a metastable vacuum that breaks a simple gauge group to a U(1) factor. Such a model admits the existence of

Battle of the bulge: Decay of the thin, false cosmic string

We consider the decay of cosmic strings that are trapped in the false vacuum in a theory of scalar electrodynamics in 3+1 dimensions. We restrict our analysis to the case of thin-walled cosmic

Cosmic bubble and domain wall instabilities I: parametric amplification of linear fluctuations

This is the first paper in a series where we study collisions of nucleated bubbles taking into account the effects of small initial (quantum) fluctuations in a fully 3+1-dimensional setting. In this

Advanced Topics in Quantum Field Theory: A Lecture Course

Part I. Before Supersymmetry: 1. Phases of gauge theories 2. Kinks and domain walls 3. Vortices and flux tubes (strings) 4. Monopoles and skyrmions 5. Instantons 6. Isotropic ferromagnet: O(3) sigma

Monopole Planets and Galaxies

Spherical clusters of SU(2) BPS monopoles are investigated here. A large class of monopole solutions is found using an abelian approximation, where the clusters are spherically symmetric, although

Principles of condensed matter physics

Preface 1. Overview 2. Structure and scattering 3. Thermodynamics and statistical mechanics 4. Mean-field theory 5. Field theories, critical phenomena, and the renormalization group 6. Generalized