Quantum fluctuations of the electroweak sphaleron: Erratum and addendum
Open accessAbstract
We correct an error in our treatment of the tadpole contribution to the fluctuation determinant of the sphaleron, and also a minor mistake in a previous estimate. Thereby the overall agreement between the two existing exact computations and their consistency with the estimate is improved considerably.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The ratio of functional determinants is computed using the resolvent method, developed in prior work and used in other works.
“To do so, we employ the resolvent method , developed in [24-27] and used in, e.g., [17, 28-30].”
From Double-well instantons in finite volume (2024) · cites this paper as [26]
The opening section (p. 1) says the authors computed the electroweak sphaleron's fluctuation determinant, and Table 1 (p. 3) presents corrected results. Our copy does not identify the resolvent method as the method used, so it supports the computation but not the method attribution. (LLM, conf=0.77)
Experimental — accuracy not yet measuredThe resolvent method states that the ratio of the determinants of two operators can be written as an integral of some modified Green's function.
“The method states that the ratio of the determinants of two operators can be written as an integral of some modified Green's function.”
From Double-well instantons in finite volume (2024) · cites this paper as [26]
The erratum discusses a corrected electroweak-sphaleron fluctuation determinant and tadpole contributions (pp. 1–3), but does not describe a resolvent method. Searches for a determinant ratio expressed as an integral of a modified Green’s function found no supporting passage in our copy; several formulas are undecoded. (LLM, conf=0.72)
Experimental — accuracy not yet measured
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
No references could be resolved yet.
Research works printed but not linked: 1
- [5][5] M. Hellmund, J. Kripfganz and M. G. Schmidt, Heidelberg preprint HD-THEP-93-23, and private communications by many others -
Cited by
Sorted by citations
Trodden, M. (1999) · Reviews of Modern Physics · doi:10.1103/revmodphys.71.1463 · Cited by 521 · see citing works
Double-well instantons in finite volume
Ai, W.-Y., Alexandre, J., Carosi, M., Garbrecht, B., & Pla, S. (2024) · Journal of High Energy Physics · doi:10.1007/jhep05(2024)099 · Cited by 6 · see citing works
- Authors
- Baacke, J., & Junker, S.
- Affiliations
- TU Dortmund University (DE)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1994-09-15
- Volume
- 50
- Issue
- 6
- Pages
- 4227-4228
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2038253614
- Cited by
- 58
- References
- 0
- Citations by year
- 2026: 1 · 2025: 1 · 2024: 2 · 2023: 2 · 2022: 1 · 2021: 3 · 2019: 1 · 2018: 1 · 2017: 2 · 2015: 2 · 2014: 1 · 2013: 1 · 2012: 3
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Quantum Chromodynamics and Particle Interactions
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- electroweak sphalerons, quantum fluctuations, fluctuation determinant
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
