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Double-well instantons in finite volume

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arxiv 2402.09863 v2 pith:DGD2LH2D submitted 2024-02-15 hep-th astro-ph.COgr-qchep-ph

classification hep-thastro-ph.COgr-qchep-ph
keywords energycasimirfiniteone-looptunnellingvacuumvolumeabel-plana
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Assuming a toroidal space with finite volume, we derive analytically the full one-loop vacuum energy for a scalar field tunnelling between two degenerate vacua, taking into account discrete momentum. The Casimir energy is computed for an arbitrary number of dimensions using the Abel-Plana formula, while the one-loop instanton functional determinant is evaluated using the Green's functions for the fluctuation operators. The resulting energetic properties are non-trivial: both the Casimir effect and tunnelling contribute to the Null Energy Condition violation, arising from a non-extensive true vacuum energy. We discuss the relevance of this mechanism to induce a cosmic bounce, requiring no modified gravity or exotic matter.

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Cited by 2 Pith papers

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

  1. 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.

  2. Particles in finite volumes and a toy model of decaying neutrons

    hep-ph 2025-04 reject novelty 4.0 of 10

    A toy scalar model of neutron decay suggests finite-volume effects and initial neutron-daughter correlations can shift the predicted neutron lifetime to about 887 seconds, but the agreement is obtained by tuning a parameter.

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