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The false vacuumbubble nucleation within the true vacuum 假真空气泡成核内的真空真
* * * * * * * * * * * * * * * * * * * * * * Our main idea(during the phase transition) 1) Numerical calculation (Case 1) from de Sitter to de Sitter (Case 2) from flat to de Sitter (Case 3) from anti-de Sitter to de Sitter (Case 4) from anti-de Sitter to flat (Case 5) from anti-de Sitter to anti-de Sitter False-to-true True-to-false De Sitter – de Sitter O O Flat – de Sitter O O Anti-de Sitter – de Sitter O O Anti-de Sitter – flat O O Anti-de Sitter – Anti-de Sitter O O 2.Thin-wall approximation B is the difference In this approximation Outside the wall In the wallwhere inside the wall (a) false vacuum nucleationif The coefficient B(b) true vacuum nucleation The coefficient Bif (by S. Parke) where Two types related to this formalism (1) Boundary surface (2) Surface layer In this case it is related to the discontinuity of the extrinsic curvature of the surface. We consider thin-wall partitions bulk spacetime into two distinct manifolds and with boundaries and , respectively. To obtain the single glued manifold we demand that the boundaries are identified as follows: 4. The dynamics of a false vacuum bubble : the junction equations We consider the action where In this framework, junction condition becomes or where , a effective negative tension of the wall There are parameter regions including that both and are positive in all ranges of After squaring twice, the equation turns out to be where the effective potential is with (1) M = 0 DS – DS DS – FLAT DS – ADS (2) M 0 DS – SDS DS – S
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