Skip to content
DraconiticResearch
Search Sources API
197,768 studies31 sourcesUpdated 10 min ago
PreprintarXiv licencearXiv

The Origin and Fate of Rapid Negative Modes in Coleman--De Luccia Tunneling

  • Yutaka Ookouchi
Open at sourcePDFDOICite

Abstract

Coleman--De Luccia tunneling can exhibit an infinite tower of rapidly oscillating negative modes, complicating the semiclassical evaluation of the path integral. We show that this tower does not represent infinitely many bounce-specific instabilities, but instead is tied to a single underlying gravitational conformal sector. This sector is exposed in two different ways: by a large scalar gradient near the bubble wall and by the turning point of a compact Euclidean geometry. The corresponding conformal sector is already present in fluctuations about the false vacuum. Treating the bounce and the false vacuum in the same well-defined gauge and with a common regulator, we find that their high-frequency negative spectra approach one another. The ultraviolet tower therefore cancels from the relative negative-mode count, leaving a single bounce-specific negative mode. This finite-backreaction spectral cancellation provides a corresponding picture of the result obtained in the small-backreaction limit.

Related

  1. Origin of bias-voltage-dependent transient negative capacitance in PZT ferroelectric capacitor with labyrinthine-like domains
    Ganga S. Kumar, Kusumpal Yadav, Miral Verma +11
    arXivPreprintarXiv licenceFull textCondensed matterarXiv
  2. The two-flavor Schwinger model at 50: Solving Coleman's puzzles
    Gabriel Cuomo, Ross Dempsey, Andrei Katsevich +4
    arXivPreprintarXiv licenceFull text1 citedHigh-energy & particle physicsQuantum physics & quantum informationarXiv
  3. Microwave response of fractional quantum Hall droplets with quasiparticle tunneling
    Fumihiro Murabayashi, Ryotaro Sano, Flavio Ronetti +4
    Physical Review BPeer-reviewedPublisher termsFull textAtomic, molecular & optical physicsHAL
  4. Reflections on quantum Reflectometry: Quantum and tunneling capacitances as well as sisyphus and hermes resistances
    O. Yu. Kitsenko, S. N. Shevchenko, L. Peri +1
    Physical Review ResearchPeer-reviewedCC BY 4.0Atomic, molecular & optical physicsCrossref
  5. Spectroscopic study of the tunneling dynamics in N2-water observed in the O–D stretch region
    R. Glorieux, C. Lauzin, A. J. Barclay +2
    The Journal of Chemical PhysicsPeer-reviewedLicence not stated2 citedPhysical chemistryGeneral physicsHAL

Cite

BibTeXRIS
BibTeX
@misc{ookouchi2026origin,
  title = {{The Origin and Fate of Rapid Negative Modes in Coleman--De Luccia Tunneling}},
  author = {Yutaka Ookouchi},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.37092},
  eprint = {2609.37092},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.37092},
}
RIS
TY  - UNPB
TI  - The Origin and Fate of Rapid Negative Modes in Coleman--De Luccia Tunneling
AU  - Yutaka Ookouchi
PY  - 2026
DA  - 2026/10/03
PB  - arXiv
DO  - 10.48550/arxiv.2609.37092
UR  - https://arxiv.org/abs/2609.37092
AB  - Coleman--De Luccia tunneling can exhibit an infinite tower of rapidly oscillating negative modes, complicating the semiclassical evaluation of the path integral. We show that this tower does not represent infinitely many bounce-specific instabilities, but instead is tied to a single underlying gravitational conformal sector. This sector is exposed in two different ways: by a large scalar gradient near the bubble wall and by the turning point of a compact Euclidean geometry. The corresponding conformal sector is already present in fluctuations about the false vacuum. Treating the bounce and the false vacuum in the same well-defined gauge and with a common regulator, we find that their high-frequency negative spectra approach one another. The ultraviolet tower therefore cancels from the relative negative-mode count, leaving a single bounce-specific negative mode. This finite-backreaction spectral cancellation provides a corresponding picture of the result obtained in the small-backreaction limit.
ER  -