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arxiv: 0708.3844 · v2 · submitted 2007-08-28 · ✦ hep-th · cond-mat.stat-mech· hep-lat· nlin.PS

Bubbling the False Vacuum Away

classification ✦ hep-th cond-mat.stat-mechhep-latnlin.PS
keywords vacuumdecaynucleationfalseinhomogeneitiesbubble-likefieldhomogeneous
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We investigate the role of nonperturbative, bubble-like inhomogeneities on the decay rate of false-vacuum states in two and three-dimensional scalar field theories. The inhomogeneities are induced by setting up large-amplitude oscillations of the field about the false vacuum as, for example, after a rapid quench or in certain models of cosmological inflation. We show that, for a wide range of parameters, the presence of large-amplitude bubble-like inhomogeneities greatly accelerates the decay rate, changing it from the well-known exponential suppression of homogeneous nucleation to a power-law suppression. It is argued that this fast, power-law vacuum decay -- known as resonant nucleation -- is promoted by the presence of long-lived oscillons among the nonperturbative fluctuations about the false vacuum. A phase diagram is obtained distinguishing three possible mechanisms for vacuum decay: homogeneous nucleation, resonant nucleation, and cross-over. Possible applications are briefly discussed.

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