Failure of the naïve loop expansion for the effective potential in φ4 field theory when there is “broken symmetry”
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Tunnelling between degenerate vacua is at the origin of convexity of the effective potential and restoration of a symmetric true vacuum.
“while the second is at the origin of convexity of the effective potential [2-11] and therefore restoration of a symmetric true vacuum.”
From Double-well instantons in finite volume (2024) · cites this paper as [7]
Cited by
Sorted by citations
Convexity, gauge-dependence and tunneling rates
Plascencia, A. D., & Tamarit, C. (2016) · Journal of High Energy Physics · doi:10.1007/jhep10(2016)099 · Cited by 64 · see citing works
Symmetry restoration, tunneling, and the null energy condition
Alexandre, J., & Polonyi, J. (2022) · Physical Review D · doi:10.1103/physrevd.106.065008 · Cited by 8 · 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
- Bender, C. M., & Cooper, F.
- Affiliations
- Los Alamos National Laboratory (US)
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1983-09
- Volume
- 224
- Issue
- 3
- Pages
- 403-426
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2007491191
- Cited by
- 50
- References
- 0
- Citations by year
- 2025: 1 · 2024: 3 · 2023: 3 · 2022: 2 · 2021: 1 · 2019: 2 · 2016: 1 · 2013: 2 · 2012: 2
- FWCI
- 1.95
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Nuclear Physics B (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Quantum Chromodynamics and Particle Interactions
- Keywords
- phi^4 theory, effective potential, loop expansion, spontaneous symmetry breaking, kinks, mean-field approximation, zero-dimensional field theory, external sources
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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.
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