Quantum fluctuations around the electroweak sphaleron
Open accessAbstract
We present an analysis of the quantum fluctuations around the electroweak sphaleron and calculate the associated determinant which gives the one-loop correction to the sphaleron transition rate. The calculation differs in various technical aspects from a previous analysis by Carson and co-workers so that it can be considered as independent. The numerical results differ also, by several orders of magnitude, from those of this previous analysis; we find that the sphaleron transition rate is much less suppressed than found previously.
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The 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 [25]
Section 6 (pp. 11–12) defines Green functions for the fluctuation and vacuum operators and says that integrating the resulting expression gives a regulated version of the logarithm of the fluctuation determinant. This supports the resolvent-method connection, but the integral gives the logarithm of the determinant ratio, not the ratio directly as the claim states. (LLM, conf=0.82)
Experimental — accuracy not yet measuredThe 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 [25]
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Cites
On anomalous electroweak baryon-number non-conservation in the early universe
Kuzmin, V. A., Rubakov, V. A., & Shaposhnikov, M. E. (1985) · Physics Letters B · doi:10.1016/0370-2693(85)91028-7 · Cited by 3,008 · see citing works
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Research works printed but not linked: 4
- [13][13] J. Baacke and H. Lange, Mod.Phys.Lett. A7 , 1455 (1992); H. Lange, 'Stabilit¨ atsanalysen quantenfeldtheoretischer Modelle', Dissertation, University of Dortmund, 1991 -
- [15][15] J. Baacke and S. Junker, 'Quantum Corrections to the Electroweak Sphaleron', Dortmund University preprint DO-TH-93/15 (May 1993) -
- [17][17] M. Abramowitz and A. Stegun (eds.), Pocketbook of mathematical functions, Verlag Harri Deutsch (1984) -
- [21][21] E. J. Nystr¨ om, Acta Soc.Sci.fennicae 50 , 155 (1925); R. Zurm¨ uhl, Praktische Mathematik, Springer Verlag Berlin, Heidelberg, New York, Chapter 27 (1965) -
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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
- 1994-02-15
- Volume
- 49
- Issue
- 4
- Pages
- 2055-2073
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W1970419362
- Cited by
- 80
- References
- 1
- Citations by year
- 2026: 1 · 2025: 3 · 2024: 3 · 2023: 5 · 2022: 4 · 2021: 3 · 2020: 1 · 2019: 1 · 2018: 1 · 2017: 2 · 2015: 2 · 2014: 1 · 2013: 1 · 2012: 4
- FWCI
- 6.20
- 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)
- arXiv (Cornell University)
- 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, one-loop corrections, fermion determinant, baryon number violation
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