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arXiv · 1107.3134

Finite Time Vacuum Survival Amplitude and Vacuum Energy Decay

Enrique Álvarez·Roberto Vidal
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Abstract

The problem of the vacuum energy decay is studied for both signs of the cosmological constant, through the analysis of the vacuum survival amplitude, defined in terms of the {\em conformal time}, $z$, by ${\mathcal A}(z,z^\prime)\equiv <\text{vac}\,z|\text{vac}\,z^\prime>$. Transition amplitudes are computed for finite time-span, $Z\equiv z^\prime-z$, and their {\em late time} behavior (directly related to the putative decay width of the state) as well as the transients are discussed up to first order in the coupling constant, $\lambda$.

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Enrique Álvarez, Roberto Vidal. 2011-07-15. Finite Time Vacuum Survival Amplitude and Vacuum Energy Decay. https://doi.org/10.1103/physrevd.84.105009

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