A connected-cluster survival criterion in real-time lattice simulations yields false vacuum decay rates that match Hartree-resummed thermal benchmarks at high temperatures and converge with global-survival methods at low temperatures in the dilute regime.
Resonant Nucleation
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abstract
We investigate the role played by fast quenching on the decay of metastable (or false vacuum) states. Instead of the exponentially-slow decay rate per unit volume, $\Gamma_{\rm HN} \sim \exp[-E_b/k_BT]$ ($E_b$ is the free energy of the critical bubble), predicted by Homogeneous Nucleation theory, we show that under fast enough quenching the decay rate is a power law $\Gamma_{\rm RN} \sim [E_b/k_BT]^{-B}$, where $B$ is weakly sensitive to the temperature. For a range of parameters, large-amplitude oscillations about the metastable state trigger the resonant emergence of coherent subcritical configurations. Decay mechanisms for different $E_b$ are proposed and illustrated in a (2+1)-dimensional scalar field model.
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False Vacuum Decay across the Quantum-to-Thermal Crossover: A Comparison of Real-Time Observables
A connected-cluster survival criterion in real-time lattice simulations yields false vacuum decay rates that match Hartree-resummed thermal benchmarks at high temperatures and converge with global-survival methods at low temperatures in the dilute regime.