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.
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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
Multianyon spectra and wave functions
Chou, C. (1991) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.44.2533 · Cited by 59
Schrödinger self-adjoint extension and quantum field theory
Giovanni Amelino-camelia, A., & Dongsu Bak, A. (1995) · Physics Letters B · doi:10.1016/0370-2693(94)01448-l · Cited by 37
Four anyons in a harmonic well
Sporre, M., Verbaarschot, J. J. M., & Ismail Zahed, A. (1992) · Physical review. B, Condensed matter · doi:10.1103/physrevb.46.5738 · Cited by 27
On a class of noninterpolating solutions of the many-anyon problem
Murthy, M. V. N., Law, J., Bhaduri, R. K., & Date, G. (1992) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/25/23/013 · Cited by 13
Class of exact solutions for many-anyon quantum mechanics
Basu, R. D., Date, G., & Murthy, M. V. N. (1992) · Physical review. B, Condensed matter · doi:10.1103/physrevb.46.3139 · Cited by 6
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
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