QUANTUM CORRECTIONS TO THE ELECTROWEAK SPHALERON TRANSITION
Open accessAbstract
We have performed a new exact evaluation of the fluctuation determinant κ of the electroweak sphaleron with Θ W = 0. The results differ significantly from a previous calculation of this quantity by Carson et al. We find that κ is of order 1 in units (gυ)6 while the previous results indicated a strong suppression of the sphaleron transition by this factor.
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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 [24]
On p. 2, the paper says that the logarithm of a fluctuation-determinant ratio can be written as an integral whose integrand is related to Euclidean Green functions. The claim captures the Green-function method but omits the logarithm: the paper does not say the ratio itself equals the integral. (LLM, conf=0.87)
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 [24]
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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
- Modern Physics Letters A
- Publisher
- World Scientific Pub Co Pte Lt
- Published
- 1993-09-28
- Volume
- 08
- Issue
- 30
- Pages
- 2869-2874
- ISSN
- 0217-7323 (ISSN-L)
- 1793-6632
- OpenAlex
- W2051791170
- Cited by
- 17
- References
- 0
- Citations by year
- 2026: 1 · 2024: 2 · 2022: 1 · 2021: 1 · 2020: 1 · 2019: 1 · 2018: 1 · 2017: 1 · 2015: 2
- FWCI
- 1.46
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Modern Physics Letters A (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, sphaleron transitions, fluctuation determinant, quantum corrections, vacuum decay
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