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Periodic Instanton Bifurcations and Thermal Transition Rate

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arxiv hep-ph/9704242 v1 pith:6FTBHVIM submitted 1997-04-04 hep-ph

classification hep-ph
keywords bifurcationsperiodicbehaviourinstantonmodelratetransitionapplied
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It is shown that periodic instanton solutions may have bifurcations which qualitatively change the behaviour of the finite temperature transition rate. These bifurcations are studied numerically in a quantum mechanical model and in the massive two-dimensional sigma model with the Skyrme term. General rules which determine the behaviour of periodic instantons near bifurcations are derived and applied to the Electroweak Theory.

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    False vacuum decay near a thermal Schwarzschild black hole is dominated by aspherical critical bubbles for intermediate sizes and by horizon-riding Fubini-Lipatov bounces for large sizes.

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