The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.
Nonrelativistic conformal field theories
Open accessAbstract
We study representations of the Schr\"odinger algebra in terms of operators in nonrelativistic conformal field theories. We prove a correspondence between primary operators and eigenstates of few-body systems in a harmonic potential. Using the correspondence we compute analytically the energy of fermions at unitarity in a harmonic potential near two and four spatial dimensions. We also compute the energy of anyons in a harmonic potential near the bosonic and fermionic limits.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Scale and Conformal Transformations in Galilean-Covariant Field Theory
Hagen, C. R. (1972) · Physical Review D · doi:10.1103/physrevd.5.377 · Cited by 434
The maximal kinematical invariance group of the free Schrödinger equation
Niederer, U. (1972) · E-Periodica · doi:10.5169/seals-114417 · Cited by 424
Schrödinger invariance and strongly anisotropic critical systems
Henkel, M. (1994) · Journal of Statistical Physics · doi:10.1007/bf02186756 · Cited by 302
Unitary gas in an isotropic harmonic trap: Symmetry properties and applications
Werner, F., & Castin, Y. (2006) · Physical Review A · doi:10.1103/physreva.74.053604 · Cited by 240
ϵExpansion for a Fermi Gas at Infinite Scattering Length
Nishida, Y., & Son, D. T. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.050403 · Cited by 182
Self-citationNikolić, P., & Sachdev, S. (2007) · Physical Review A · doi:10.1103/physreva.75.033608 · Cited by 181
Vanishing Bulk Viscosities and Conformal Invariance of the Unitary Fermi Gas
Son, D. T. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.020604 · Cited by 141
Self-citationFermi gas near unitarity around four and two spatial dimensions
Nishida, Y., & Son, D. T. (2007) · Physical Review A · doi:10.1103/physreva.75.063617 · Cited by 98
Self-citationTriviality of the BCS-BEC crossover in extended dimensions: Implications for the ground state energy
Nussinov, Z., & NUSSINOV, S. (2006) · Physical Review A · doi:10.1103/physreva.74.053622 · Cited by 62
Contact interactions of anyons
Manuel, C., & Tarrach, R. (1991) · Physics Letters B · doi:10.1016/0370-2693(91)90807-3 · Cited by 61
Cited by
Lectures on holographic methods for condensed matter physics
Hartnoll, S. A. (2009) · Classical and Quantum Gravity · doi:10.1088/0264-9381/26/22/224002 · Cited by 1,609
The conformal bootstrap: Theory, numerical techniques, and applications
Poland, D., Rychkov, S., & Vichi, A. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015002 · Cited by 760
Galilean conformal algebras and AdS/CFT
Bagchi, A., & Gopakumar, R. (2009) · Journal of High Energy Physics · doi:10.1088/1126-6708/2009/07/037 · Cited by 301
Below the Breitenlohner-Freedman bound in the nonrelativistic AdS/CFT correspondence
Moroz, S. (2010) · Physical Review D · doi:10.1103/physrevd.81.066002 · Cited by 31
Metadata
- Authors
- Nishida, Y., & Son, D. T.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2007-10-26
- Volume
- 76
- Issue
- 8
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W1988722882
- Cited by
- 340
- References
- 15
- FWCI
- 17.52
- Type
- journal article
- Language
- en
- Open access
- green
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.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Nonrelativistic conformal field theories. https://app.cochat.ai/papers/10.1103/physrevd.76.086004
- The paper
- Nishida, Y., & Son, D. T. (2007). Nonrelativistic conformal field theories. Physical Review D. https://doi.org/10.1103/physrevd.76.086004
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.