Decay of an inhomogeneous state via resonant tunnelling - High Energy Physics - TheoryReport as inadecuate




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Abstract: We recently investigated the nature of resonant tunnelling in standard scalarQuantum Field Theory, uncovering the conditions required for resonance. It wasshown that whereas the homogeneous false vacuum may decay via bubblenucleation, it may not decay in a resonant fashion. The no-go theorem giventhere is circumvented in this study by considering an initial state other thanthe homogeneous false vacuum, and we confirm our mechanism by showing in anexplicit model how resonant tunnelling occurs. Using this model we demonstratehow the tunnelling rate depends on the energy of specially constructed initialstates, with these states corresponding to contracting spherical bubbles ofsome vacuum that evolve to a minimum radius and then tunnel to another vacuum,instead of the classical motion where the bubble would just start to expand.



Author: Paul M. Saffin, Antonio Padilla, Edmund J. Copeland

Source: https://arxiv.org/



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