'Thin wall' approximations to vacuum decay rates

1991
6 pages
Published in:
  • Phys.Lett.B 261 (1991) 251-256
  • Published: 1991

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Abstract: (Elsevier)
We examine the validity of Coleman's “thin-wall” approximation to the euclidean action of the bounce solution by comparing its predictions with exact numerically integrated actions for potentials which yield thin-and thick-wall bubbles. In both cases, the original thin-wall approximation is found to be poor, rapidly diverging from the exact action as the difference in energy of the two vacuum states is increased from zero. We introduce a new approximation scheme, calculationally similar to the original thin-wall scheme, which gives greatly improved accuracy.
  • phi**n model
  • field theory: Euclidean
  • field theory: instanton
  • vacuum state: decay
  • decay: vacuum state
  • approximation
  • potential
  • numerical calculations
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