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

We study the decay of “false” domain walls, that is, 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 solit...

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Bibliographic Details
Published in:Journal of mathematical physics 2016-04, Vol.57 (4), p.1
Main Authors: Haberichter, Mareike, MacKenzie, Richard, Paranjape, M. B., Ung, Yvan
Format: Article
Language:English
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Summary:We study the decay of “false” domain walls, that is, 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 tunnelling amplitude for such a disintegration.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4947263