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Fate of the classical false vacuum

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arxiv hep-th/0004059 v2 pith:PUH427DI submitted 2000-04-10 hep-th cond-mat.stat-mechhep-lathep-ph

classification hep-thcond-mat.stat-mechhep-lathep-ph
keywords amplitudeclassicalfalseinitialorderparametertheoryvacuum
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abstract

Thermalisation of configurations with initial white noise power spectrum is studied in numerical simulations of a classical one-component $\Phi^4$ theory in 2+1 dimensions, coupled to a small amplitude homogenous external field. The study is performed for energy densities corresponding to the broken symmetry phase of the system in equilibrium. The effective equation of the order parameter motion is reconstructed from its trajectory which starts from an initial value near the metastable point and ends in the stable ground state. This phenomenological theory quantitatively accounts for the decay of the false vacuum. The large amplitude transition of the order parameter between the two minima displays characteristics reflecting dynamical aspects of the Maxwell construction.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Seeded bubble nucleation on the lattice

    hep-lat 2026-05 unverdicted novelty 8.0 of 10

    First non-perturbative lattice computation of seeded bubble nucleation rate in the cubic anisotropy model agrees with semi-classical EFT prediction on domain walls including fluctuation determinant.

  2. Dynamics of nucleation in thermal phase transitions

    hep-th 2026-07 conditional novelty 7.0 of 10

    The thermal nucleation rate is the transition-state estimate multiplied by one minus the re-crossing probability, and oscillons make that correction large.

  3. Langer's nucleation rate reproduced on the lattice

    hep-ph 2025-05 conditional novelty 7.0 of 10

    With a new gradient-descent definition of the metastable phase, lattice simulations reproduce Langer's nucleation rate for the first time in a conservative system.

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