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One-loop corrections to the metastable vacuum decay

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arxiv hep-th/0307202 v1 pith:JJ2AA2SS submitted 2003-07-21 hep-th

classification hep-th
keywords numericalcorrectionsdecayone-loopresultsthin-wallvacuumaway
verification ladder T0 review T1 audit T2 compute T3 formal
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We evaluate the one-loop prefactor in the false vacuum decay rate in a theory of a self interacting scalar field in 3+1 dimensions. We use a numerical method, established some time ago, which is based on a well-known theorem on functional determinants. The proper handling of zero modes and of renormalization is discussed. The numerical results in particular show that quantum corrections become smaller away from the thin-wall case. In the thin-wall limit the numerical results are found to join into those obtained by a gradient expansion.

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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. Numerical simulations on First-order phase transition through thermal fluctuation

    hep-ph 2025-05 conditional novelty 6.0 of 10

    3+1D lattice simulations show that thermal fluctuations alone can nucleate vacuum bubbles through precursor oscillons, and the resulting gravitational wave spectrum scales with the mean bubble separation.

  2. Thermodynamical uncertainties for primordial black holes from cosmological phase transitions

    hep-ph 2025-06 unverdicted novelty 5.0 of 10

    A state-of-the-art thermodynamic analysis of supercooled phase transitions yields a universal lower bound β/H_* ≃ 5 and shows that viable PBH dark-matter parameter space in classically conformal gauge-Higgs theories i...

  3. On equivalent methods for functional determinants

    hep-th 2026-01 conditional novelty 4.0 of 10

    The Gel'fand-Yaglom theorem and the Green's function method for functional determinants both follow from one contour integral; zero and negative modes are handled by explicit subtraction.

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