Renormalization Group and Effective Field Theory Approaches to Many-Body Systems
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The Bogoliubov ansatz is only justified if the ground state is macroscopically occupied, i.e., N ≫ 1, and the fluctuations δφ are regarded as small.
“This ansatz is only justified if the ground state is macroscopically occupied, i.e., N ≫ 1 and the fluctuations δ ˆ ϕ are regarded as small.”
From Impact of nonlinear effective interactions on group field theory quantum gravity condensates (2016) · cites this paper as [25]
Bogoliubov's mean field and perturbation theory becomes invalid and breaks down in the vicinity of the critical point of the phase transition because quantum fluctuations become important.
“in the context of weakly interacting, diluted and ultracold nonrelativistic BECs [25] it is well understood that Bogoliubov's mean field and perturbation theory [26] becomes invalid and breaks down in the vicinity of the critical point of the phase transition because quantum fluctuations become important.”
From Impact of nonlinear effective interactions on group field theory quantum gravity condensates (2016) · cites this paper as [25]
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References 13 · Cited by 325
- Authors
- Schwenk, A., & Polonyi, J.
- Affiliations
- Technische Universität Darmstadt (DE)
- Université de Strasbourg (FR)
- Venue
- Lecture Notes in Physics
- Publisher
- Springer Berlin Heidelberg
- Published
- 2012
- ISSN
- 0075-8450 (ISSN-L)
- 1616-6361
- OpenAlex
- W1649532409
- Cited by
- 325
- References
- 13
- Citations by year
- 2026: 6 · 2025: 15 · 2024: 21 · 2023: 11 · 2022: 27 · 2021: 32 · 2020: 26 · 2019: 39 · 2018: 25 · 2017: 29 · 2016: 27 · 2015: 27 · 2014: 19 · 2013: 17 · 2012: 3
- FWCI
- 8.98
- Type
- book
- Language
- en
- Open access
- closed
- Licence
- Locations
- Lecture notes in physics (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Nuclear physics research studies
- Keywords
- renormalization group, effective field theory, many-body systems, strongly interacting systems, Bose-Einstein condensate, density functional theory, Fermi liquid theory, gauge theory, condensed matter physics, nuclear physics, particle physics
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.
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