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

Jun 18, 2015
20 pages
Published in:
  • J.Math.Phys. 57 (2016) 4, 042303
  • Published: Apr 27, 2016
e-Print:
Report number:
  • UDEM-GPP-TH-15-242,
  • DAMTP-2015-30

Citations per year

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Abstract: (AIP)
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.
Note:
  • 20 pages, 9 figures
  • Domain walls
  • Tunneling
  • Scalar field theory
  • Equations of motion
  • Lagrangian mechanics
  • tunneling: quantum
  • domain wall
  • false vacuum
  • soliton