pith. sign in

arxiv: 2512.17193 · v2 · pith:NF4O2PYYnew · submitted 2025-12-19 · ✦ hep-th

Quantum Oscillons are Long-Lived

Jarah Evslin , Katarzyna Slawi\'nska , Tomasz Roma\'nczukiewicz , Andrzej Wereszczy\'nski This is my paper

Pith reviewed 2026-05-25 07:59 UTC · model grok-4.3

classification ✦ hep-th
keywords oscillonsquantum radiationcoherent statessqueezed statesfield theory decaylifetime enhancementcoupling suppression
0
0 comments X

The pith

Quantum oscillons in a squeezed coherent state emit no radiation at leading order in the coupling, so their lifetime scales as an inverse power of the coupling.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper re-examines the quantum decay of oscillons, long-lived classical field configurations that appear in many simulations. Earlier work concluded that quantum effects cause rapid radiation and short lifetimes, but those calculations assumed the oscillon sits in a coherent state. The authors show that a squeezed coherent state produces zero radiated power at leading order in the coupling; the previously computed radiation is only the energy lost while relaxing into that lower-energy squeezed state. Once there, the oscillon radiates far more slowly. The result is that the quantum lifetime is parametrically longer than the classical estimates suggested.

Core claim

Previous calculations of the radiated power from an oscillon assume it occupies a coherent state. In a squeezed coherent state the leading-order radiation vanishes, so the calculated emission corresponds only to relaxation from the coherent state into the squeezed state; the subsequent decay proceeds at higher order in the coupling and the lifetime is therefore enhanced by an inverse power of the coupling.

What carries the argument

The squeezed coherent state of the oscillon, which cancels the leading-order radiation matrix element.

If this is right

  • The effective decay rate drops from order g to order g to a higher power, where g is the coupling.
  • Oscillons can survive long enough to influence cosmological evolution or scattering processes.
  • Classical simulations of oscillon formation must be supplemented by a quantum-state relaxation step before decay begins.
  • The total energy lost during relaxation is finite and independent of the coupling strength.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • If the relaxation to the squeezed state occurs on observable timescales, early-universe simulations could show a two-stage lifetime for oscillons.
  • The same state-dependent suppression might apply to other classical solitons or breathers when quantized.
  • Lattice methods that project onto squeezed states could test the suppression directly.

Load-bearing premise

The oscillon reaches a squeezed coherent state and remains there rather than decaying while still in a coherent state.

What would settle it

An explicit next-to-leading-order calculation of the radiated power from the squeezed coherent state, or a numerical simulation that tracks the quantum state evolution and measures the post-relaxation decay rate.

Figures

Figures reproduced from arXiv: 2512.17193 by Andrzej Wereszczy\'nski, Jarah Evslin, Katarzyna Slawi\'nska, Tomasz Roma\'nczukiewicz.

Figure 1
Figure 1. Figure 1: FIG. 1. The real (left) and imaginary (right) parts of the [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
read the original abstract

As the longest lived transient, oscillons play a critical role in classical field theory simulations of many phenomena. However, beyond the classical approximation, it is well-known that quantum corrections open decay channels through which oscillons radiate rapidly. Therefore it is believed that in the real world, oscillons are too short-lived to be phenomenologically relevant. We observe that previous calculations of the radiated power assume that the oscillon is in a coherent state. We show that a squeezed coherent state, on the other hand, would emit no radiation at leading order in the coupling. This leads us to the conclusion that the instantaneous radiation calculated in the literature corresponds not to the oscillon's decay, but rather to its relaxation from a coherent state to a lower-energy, squeezed coherent state, which then radiates much more slowly. As a result, the lifetime of the quantum oscillon is enhanced by an inverse power of the coupling.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 0 minor

Summary. The manuscript claims that quantum oscillons in a squeezed coherent state emit no radiation at leading order in the coupling, in contrast to coherent states. It interprets the radiation computed in prior literature as arising from relaxation to this lower-energy squeezed state rather than from decay, implying that the lifetime is enhanced by an inverse power of the coupling.

Significance. If substantiated, the result would alter the assessment of oscillon lifetimes in quantum field theory, potentially restoring their phenomenological relevance in cosmology and related settings by identifying a state-dependent suppression of decay channels.

major comments (2)
  1. [Abstract] Abstract: the central claim that radiation vanishes at leading order for the squeezed coherent state is asserted without any derivation, explicit interaction Hamiltonian, or calculation showing the suppression.
  2. [Abstract] Abstract: the manuscript states that the oscillon relaxes from a coherent state to the squeezed coherent state but supplies no time-evolution analysis, stability check against higher-order processes, or estimate of the rate at which decay channels reopen.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for identifying points that require clarification. We address each major comment below.

read point-by-point responses

  1. Referee: [Abstract] Abstract: the central claim that radiation vanishes at leading order for the squeezed coherent state is asserted without any derivation, explicit interaction Hamiltonian, or calculation showing the suppression.

    Authors: The abstract is necessarily brief and does not include derivations. The interaction Hamiltonian and the explicit calculation demonstrating the vanishing of radiation at leading order in the coupling for the squeezed coherent state appear in the main text. We have revised the abstract to include a reference to the relevant section containing this calculation. revision: yes

  2. Referee: [Abstract] Abstract: the manuscript states that the oscillon relaxes from a coherent state to the squeezed coherent state but supplies no time-evolution analysis, stability check against higher-order processes, or estimate of the rate at which decay channels reopen.

    Authors: The interpretation of relaxation follows from the lower energy of the squeezed state relative to the coherent state and from the fact that the radiated energy in prior calculations equals this difference. The manuscript does not contain a time-dependent analysis of the relaxation process or a stability analysis against higher-order effects; these lie outside the scope of the present work, which focuses on the leading-order radiation properties. We have added a brief discussion in the conclusions noting this limitation and identifying the relaxation dynamics as a topic for future study. revision: partial

Circularity Check

0 steps flagged

No significant circularity; derivation is self-contained

full rationale

The paper's chain begins from the observation that prior literature computed radiated power assuming a coherent state, then posits that a squeezed coherent state emits no radiation at leading order in the coupling. This leads to reinterpreting the computed power as relaxation rather than decay, yielding a lifetime scaling as an inverse power of the coupling. No quoted step reduces the central result to a self-definition, a fitted parameter renamed as prediction, or a load-bearing self-citation whose content is itself unverified. The state choice is presented as an independent physical assumption whose consequences are calculated separately; the derivation does not collapse to its inputs by construction and remains falsifiable against external radiation calculations.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract only; no free parameters, axioms, or invented entities are specified in the provided text.

pith-pipeline@v0.9.0 · 5695 in / 887 out tokens · 26870 ms · 2026-05-25T07:59:22.797644+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Forward citations

Cited by 2 Pith papers

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

  1. Linearized Q-Ball Perturbations

    hep-th 2026-04 unverdicted novelty 5.0

    At leading order in amplitude, linearized modes of thick-walled Q-balls in 1+1D are solved in closed form, with corotating modes resembling breathers and counterrotating modes becoming Feshbach quasinormal modes via a...

  2. Self-resonance preheating in deformed attractor models: oscillon formation and evolution

    astro-ph.CO 2026-02 unverdicted novelty 5.0

    Deformed alpha-attractor T-models with a Gaussian feature near the minimum yield more smaller shorter-lived oscillons during self-resonance preheating, suppressing energy in oscillons and altering the high-frequency g...

Reference graph

Works this paper leans on

58 extracted references · 58 canonical work pages · cited by 2 Pith papers · 1 internal anchor

  1. [1]

    Our|0⟩ 0 state is, on the other hand, constructed so as to be periodic under the action ofH ′

    work page

  2. [2]

    We expect that, once the state has approachedD (t) f |0⟩0 and so is squeezed, the radiation will slow significantly

    We there- fore interpret the radiation observed in that paper as the relaxation of the oscillon fromD (t) f |Ω⟩toD (t) f |0⟩0. We expect that, once the state has approachedD (t) f |0⟩0 and so is squeezed, the radiation will slow significantly. As a result, the approximation, in Ref. [21], that the oscil- lon lifetime is equal to the oscillon energy divide...

    work page 2021

  3. [3]

    Lifetime of Pulsating Solitons in Some Classical Models,

    I. L. Bogolyubsky and V. G. Makhankov, “Lifetime of Pulsating Solitons in Some Classical Models,” Pisma Zh. Eksp. Teor. Fiz.24(1976), 15-18

    work page 1976

  4. [4]

    Pseudostable bubbles,

    M. Gleiser, “Pseudostable bubbles,” Phys. Rev. D49 (1994), 2978-2981

    work page 1994

  5. [5]

    Radiation and Relaxation of Oscillons,

    P. Salmi and M. Hindmarsh, “Radiation and Relaxation of Oscillons,” Phys. Rev. D85(2012) 085033

    work page 2012

  6. [6]

    Recipes for os- cillon longevity,

    J. Olle, O. Pujolas and F. Rompineve, “Recipes for os- cillon longevity,” JCAP09(2021) 015

    work page 2021

  7. [7]

    Gleiser, Oscillons in scalar field theories: Applications in higher dimensions and inflation, Int

    M. Gleiser, Oscillons in scalar field theories: Applications in higher dimensions and inflation, Int. J. Mod. Phys. D 16(2007) 219

    work page 2007

  8. [8]

    Non-topological solitons and quasi- solitons,

    S. Y. Zhou, “Non-topological solitons and quasi- solitons,” Rept. Prog. Phys.88(2025) no.4, 046901

    work page 2025

  9. [9]

    Oscillons: Resonant configurations during bubble collapse,

    E. J. Copeland, M. Gleiser and H. R. Muller, “Oscillons: Resonant configurations during bubble collapse,” Phys. Rev. D52(1995), 1920-1933

    work page 1995

  10. [10]

    False Vacuum Decay across the Quantum-to-Thermal Crossover: A Comparison of Real-Time Observables

    H. Wang, R. Qin and L. Bian, “Numerical simula- tion of the false vacuum decay at finite temperature,” [arXiv:2506.18334 [hep-th]]

    work page internal anchor Pith review Pith/arXiv arXiv

  11. [11]

    Oscillons After Inflation,

    M. A. Amin, R. Easther, H. Finkel, R. Flauger and M. P. Hertzberg, “Oscillons After Inflation,” Phys. Rev. Lett.108(2012), 241302

    work page 2012

  12. [12]

    Inflaton self resonance, oscil- lons, and gravitational waves in small field polynomial inflation,

    M. Drees and C. Wang, “Inflaton self resonance, oscil- lons, and gravitational waves in small field polynomial inflation,” JCAP04(2025), 078

    work page 2025

  13. [13]

    A Phase transition in U(1) configuration space: Oscillons as remnants of vortex-antivortex annihilation

    M. Gleiser and J. Thorarinson, “A Phase transition in U(1) configuration space: Oscillons as remnants of vortex-antivortex annihilation” Phys. Rev. D76, 041701 (2007)

    work page 2007

  14. [14]

    Charge- Swapping Q-balls,

    E. J. Copeland, P. M. Saffin and S.-Y. Zhou, “Charge- Swapping Q-balls,” Phys. Rev. Lett.113(2014) 231603

    work page 2014

  15. [15]

    Collisions of weakly-bound kinks in the Christ-Lee model,

    P. Dorey, A. Gorina, T. Roma´ nczukiewicz and Y. Shnir, “Collisions of weakly-bound kinks in the Christ-Lee model,” JHEP09(2023), 045

    work page 2023

  16. [16]

    Radiation-like Shock Waves in Kink Scattering,

    X. Li and L. Long, “Radiation-like Shock Waves in Kink Scattering,” [arXiv:2407.14479 [hep-th]]

    work page arXiv

  17. [17]

    Excited oscillons and charge-swapping,

    A. Alonso-Izquierdo, D. C. Martınez, T. Ro- manczukiewicz, K. Slawinska and A. Wereszczynski, “Excited oscillons and charge-swapping,” JHEP07 (2025) 100

    work page 2025

  18. [18]

    Primordial black hole for- mation from the merger of oscillons,

    K. Kasai and N. Kitajima, “Primordial black hole for- mation from the merger of oscillons,” [arXiv:2510.25300 [astro-ph.CO]]

    work page arXiv

  19. [19]

    Oscillon formation during inflationary preheating with general rel- ativity,

    J. C. Aurrekoetxea, K. Clough, and F. Muia, “Oscillon formation during inflationary preheating with general rel- ativity,” Phys. Rev. D108, 023501 (2023)

    work page 2023

  20. [20]

    Oscillons and dark matter,

    J. Olle, O. Pujolas, and F. Rompineve, “Oscillons and dark matter,” J. Cosmol. Astropart. Phys.02(2020) 006

    work page 2020

  21. [21]

    Oscillon of ultra-light axion-like particle,

    M. Kawasaki, W. Nakano, and E. Sonomoto, “Oscillon of ultra-light axion-like particle,” J. Cosmol. Astropart. Phys.01(2020) 047

    work page 2020

  22. [22]

    An Electroweak Oscillon,

    N. Graham, “An Electroweak Oscillon,” Phys. Rev. Lett. 98, 101801 (2007); 98, 189904 (E) (2007)

    work page 2007

  23. [23]

    Quantum Radiation of Oscillons,

    M. P. Hertzberg, “Quantum Radiation of Oscillons,” Phys. Rev. D82(2010), 045022

    work page 2010

  24. [24]

    Quantum Evaporation of Classical Breathers,

    J. Oll´ e, O. Pujolas, T. Vachaspati and G. Zahariade, “Quantum Evaporation of Classical Breathers,” Phys. Rev. D100(2019) no.4, 045011

    work page 2019

  25. [25]

    Mass Formu- las for Static Solitons,

    K. E. Cahill, A. Comtet and R. J. Glauber, “Mass Formu- las for Static Solitons,” Phys. Lett. B64(1976), 283-285

    work page 1976

  26. [26]

    Manifestly Finite Derivation of the Quantum Kink Mass,

    J. Evslin, “Manifestly Finite Derivation of the Quantum Kink Mass,” JHEP11(2019), 161

    work page 2019

  27. [27]

    Nonper- turbative Methods and Extended Hadron Models in Field Theory 2. Two-Dimensional Models and Extended Hadrons,

    R. F. Dashen, B. Hasslacher and A. Neveu, “Nonper- turbative Methods and Extended Hadron Models in Field Theory 2. Two-Dimensional Models and Extended Hadrons,” Phys. Rev. D10(1974) 4130

    work page 1974

  28. [28]

    Quantum oscillons may be long-lived,

    J. Evslin, T. Roma´ nczukiewicz and A. Wereszczy´ nski, “Quantum oscillons may be long-lived,” JHEP08(2023), 182

    work page 2023

  29. [29]

    Oscillons from Q-Balls through Renor- malization,

    F. Blaschke, T. Romanczukiewicz, K. Slawinska and A. Wereszczynski, “Oscillons from Q-Balls through Renor- malization,” Phys. Rev. Lett.134(2025) 081601

    work page 2025

  30. [30]

    Oscillons in gapless theories

    P. Dorey, T. Romanczukiewicz, Y. Shnir, and A. Wereszczynski, “Oscillons in gapless theories” Phys. Rev. D109, 085017 (2024)

    work page 2024

  31. [31]

    Soft Oscillons,

    F. van Dissel and Oriol Pujolas, “Soft Oscillons,” JHEP 08(2025) 123

    work page 2025

  32. [32]

    Small amplitude quasi-breathers and oscillons,

    G. Fodor, P. Forgacs, Z. Horvath and A. Lukacs, “Small amplitude quasi-breathers and oscillons,” Phys. Rev. D 78(2008), 025003

    work page 2008

  33. [33]

    Normal modes of the small-amplitude oscillon,

    J. Evslin, T. Romanczukiewicz, K. Slawinska and A. Wereszczynski, “Normal modes of the small-amplitude oscillon,” JHEP01(2025), 039

    work page 2025

  34. [34]

    (12) and (21)

    See Supplemental Material after the bibliography for the relationship betweenϕ 0,ϕ T ,π 0, ˆϵand the collective co- ordinates, and also for derivations of Eqs. (12) and (21)

    work page

  35. [35]

    A Treatise on Analytical Dynamics,

    L. A. Pars, “A Treatise on Analytical Dynamics,” (Heine- mann, London, 1965). 6

    work page 1965

  36. [36]

    A Nonlinear theory of strong interac- tions,

    T. H. R. Skyrme, “A Nonlinear theory of strong interac- tions,” Proc. Roy. Soc. Lond. A247(1958), 260-278

    work page 1958

  37. [37]

    Effective mass and correlation length of nucleon constituents,

    P. Vinciarelli, “Effective mass and correlation length of nucleon constituents,” Lett. Nuovo Cim.4S2(1972), 905-909

    work page 1972

  38. [38]

    Effec- tive Action for Composite Operators,

    J. M. Cornwall, R. Jackiw and E. Tomboulis, “Effec- tive Action for Composite Operators,” Phys. Rev. D10 (1974), 2428-2445

    work page 1974

  39. [39]

    The Parti- cle Spectrum in Model Field Theories from Semiclassical Functional Integral Techniques,

    R. F. Dashen, B. Hasslacher and A. Neveu, “The Parti- cle Spectrum in Model Field Theories from Semiclassical Functional Integral Techniques,” Phys. Rev. D11(1975), 3424

    work page 1975

  40. [40]

    Q ball candidates for selfinteracting dark matter

    A. Kusenko, P. J. Steinhardt, “Q ball candidates for selfinteracting dark matter”, Phys. Rev. Lett.87(2001) 141301

    work page 2001

  41. [41]

    Q-ball polarization - A smooth path to oscillons,

    F. Blaschke, T. Romanczukiewicz, K. Slawinska and A. Wereszczynski, “Q-ball polarization - A smooth path to oscillons,” Phys. Lett. B865(2025) 139468

    work page 2025

  42. [42]

    A saddle point solution in the Weinberg-Salam theory,

    F. R. Klinkhamer and N. S. Manton, “A saddle point solution in the Weinberg-Salam theory,” Phys. Rev. D 30, 2212 (1984)

    work page 1984

  43. [43]

    Simplest oscil- lon and its sphaleron,

    N. S. Manton and T. Roma´ nczukiewicz, “Simplest oscil- lon and its sphaleron,” Phys. Rev. D107, 085012 (2023)

    work page 2023

  44. [44]

    A non-linear field theory,

    T.H.R. Skyrme, “A non-linear field theory,” Proc. R. Soc. Lond. A260(1961) 127

    work page 1961

  45. [45]

    Knots and particles,

    L. D. Faddeev and A. J. Niemi, “Knots and particles,” Nature387(1997) 58

    work page 1997

  46. [46]

    Static prop- erties of nucleons in the Skyrme model,

    G. S. Adkins, C. R. Nappi, and E. Witten, “Static prop- erties of nucleons in the Skyrme model,” Nucl. Phys. B 228, 552 (1983)

    work page 1983

  47. [47]

    Skyrmions - A Theory of Nuclei,

    N.S. Manton, “Skyrmions - A Theory of Nuclei,” World Scientific Publishing Europe Ltd., London (2022), 10.1142/q0368

    work page doi:10.1142/q0368 2022

  48. [48]

    Light nuclei as quantized Skyrmions,

    O. V. Manko, N. S. Manton, and S. W. Wood, “Light nuclei as quantized Skyrmions,” Phys. Rev. C76, 055203 (2007)

    work page 2007

  49. [49]

    Light nuclei of even mass number in the Skyrme model,

    R. A. Battye, N. S. Manton, P. M. Sutcliffe, and S. W. Wood, “Light nuclei of even mass number in the Skyrme model,” Phys. Rev. C80, 034323 (2009)

    work page 2009

  50. [50]

    Bogomol’nyi-Prasad-Sommerfield Skyrme model and nuclear binding energies,

    C. Adam, C. Naya, J. Sanchez-Guillen, and A. Wereszczynski, “Bogomol’nyi-Prasad-Sommerfield Skyrme model and nuclear binding energies,” Phys. Rev. Lett.111, 232501 (2013)

    work page 2013

  51. [51]

    States of Carbon-12 in the Skyrme model,

    P. H. C. Lau and N. S. Manton, “States of Carbon-12 in the Skyrme model,” Phys. Rev. Lett.113, 232503 (2014)

    work page 2014

  52. [52]

    Dynamicalα- cluster model of 16-O,

    C. J. Halcrow, C. King, and N. S. Manton, “Dynamicalα- cluster model of 16-O,” Phys. Rev. C95, 031303 (2017)

    work page 2017

  53. [53]

    Realistic classical binding energies in theω-Skyrme model,

    S. B. Gudnason and J. M. Speight, “Realistic classical binding energies in theω-Skyrme model,” J. High Energy Phys.07(2020) 184

    work page 2020

  54. [54]

    Glueballs, closed flux tubes and eta(1440),

    L. D. Faddeev, A. J. Niemi and U. Wiedner, “Glueballs, closed flux tubes and eta(1440),” Phys. Rev. D70(2004) 114033

    work page 2004

  55. [55]

    Amari, M

    Y. Amari, M. Nitta, C. Sasaki, K. Shigaki, S. Yano et al., Glueballonia as Hopfions, Phys. Lett. B869(2025) 139805

    work page 2025

  56. [56]

    Pion breather states in QCD,

    J. N. Hormuzdiar, S. D. H. Hsu, “Pion breather states in QCD,” Phys. Rev. C59(1999) 889

    work page 1999

  57. [57]

    Decay and lifetime of oscillons coupled to an external scalar field: insights from instability band analysis,

    S. Li, M. Yamaguchi and Y. l. Zhang, “Decay and lifetime of oscillons coupled to an external scalar field: insights from instability band analysis,” JCAP12(2025), 028 Supplemental Material A. Collective Coordinates The discrete operatorsϕ 0, ˆϵ,ϕT andπ 0 that appeared in our decomposition (11) are not collective coordinates, but they are proportional to c...

    work page 2025

  58. [58]

    Integrating this evolution over time, one arrives at the evolution operatorU(t) de- fined in Eq. (18). Let us define ϕt(x) =U †(t)ϕ(x)U(t), π t(x) =U †(t)π(x)U(t). (S.21) These would be the field and its conjugate momentum in the interaction picture, but we will continue to work in the Schrodinger picture where these are interpreted as families of operato...

    work page