Renormalizable models with simple symmetry breaking: I. Symmetry breaking by a source term
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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 [2]
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Non-perturbative renormalization flow in quantum field theory and statistical physics
Berges, J., Tetradis, N., & Wetterich, C. (2002) · Physics Reports · doi:10.1016/s0370-1573(01)00098-9 · Cited by 1,548 · see citing works
On the gauge dependence of spontaneous symmetry breaking in gauge theories
Nielsen, N. K. (1975) · Nuclear Physics B · doi:10.1016/0550-3213(75)90301-6 · Cited by 471 · see citing works
EFFECTIVE EQUATIONS OF MOTION FOR QUANTUM SYSTEMS
BOJOWALD, M., & SKIRZEWSKI, A. (2006) · Reviews in Mathematical Physics · doi:10.1142/s0129055x06002772 · Cited by 185 · 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
- Symanzik, K.
- Affiliations
- Deutsches Elektronen-Synchrotron DESY (DE)
- Corresponding author
- Symanzik, K.
- Venue
- Communications in Mathematical Physics
- Published
- 1970-03
- Volume
- 16
- Issue
- 1
- Pages
- 48-80
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2045194685
- Cited by
- 352
- References
- 0
- Citations by year
- 2026: 2 · 2025: 4 · 2024: 6 · 2023: 6 · 2022: 5 · 2021: 6 · 2019: 31 · 2018: 2 · 2017: 7 · 2016: 6 · 2015: 3 · 2013: 3 · 2012: 4
- FWCI
- 13.58
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Communications in Mathematical Physics (publishedVersion)
- 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 › Condensed Matter Physics › Theoretical and Computational Physics
- Keywords
- renormalizability, symmetry breaking, Goldstone modes, ground state energy density, spontaneous symmetry breaking, discrete symmetries, Bose fields
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.
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