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Sphalerons, small fluctuations, and baryon-number violation in electroweak theory
Abstract
We study the formalism of the sphaleron approximation to baryon-number violation in the standard model at temperatures near 1 TeV. We investigate small fluctuations of the sphaleron, the competition of large-scale sphalerons with thermal fluctuations, and the damping of the transition rate in the plasma. We find a suppression of the rate due to Landau damping and due to factors arising from zero modes. Our approximations are valid in the regime 2${M}_{W}$(T)\ensuremath{\ll}T\ensuremath{\ll}2${M}_{W}$(T)/${\ensuremath{\alpha}}_{W}$ for models where \ensuremath{\lambda}\ensuremath{\sim}${g}^{2}$. We find that the rate of baryon-number violation is still significantly larger than the expansion rate of the Universe.
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Citations
Cites
A PCAC puzzle: π0→γγ in the σ-model
Bell, J. S., & Jackiw, R. (1969) · Il Nuovo Cimento A · doi:10.1007/bf02823296 · Cited by 3,284
Cited by
Fukushima, K., Kharzeev, D. E., & Warringa, H. J. (2008) · Physical Review D · doi:10.1103/physrevd.78.074033 · Cited by 2,006
Trodden, M. (1999) · Reviews of Modern Physics · doi:10.1103/revmodphys.71.1463 · Cited by 521
Effective dynamics of soft non-Abelian gauge fields at finite temperature
Bödeker, D. (1998) · Physics Letters B · doi:10.1016/s0370-2693(98)00279-2 · Cited by 282
Cohen, A. G., Kaplan, D. B., & Nelson, A. E. (1990) · Physics Letters B · doi:10.1016/0370-2693(90)90690-8 · Cited by 229
Quantum fluctuations around the electroweak sphaleron
Baacke, J., & Junker, S. (1994) · Physical Review D · doi:10.1103/physrevd.49.2055 · Cited by 80
Metadata
- Authors
- Arnold, P., & McLerran, L.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1987-07-15
- Volume
- 36
- Issue
- 2
- Pages
- 581-595
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2075077597
- Cited by
- 556
- References
- 1
- FWCI
- 12.40
- Type
- journal article
- Language
- en
- Open access
- closed
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