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Bootstrapping the O(N ) vector models
Open accessAbstract
We study the conformal bootstrap for 3D CFTs with O(N ) global symmetry. We obtain rigorous upper bounds on the scaling dimensions of the first O(N ) singlet and symmetric tensor operators appearing in the ϕ i × ϕ j OPE, where ϕ i is a fundamental of O(N ). Comparing these bounds to previous determinations of critical exponents in the O(N ) vector models, we find strong numerical evidence that the O(N ) vector models saturate the bootstrap constraints at all values of N . We also compute general lower bounds on the central charge, giving numerical predictions for the values realized in the O(N ) vector models. We compare our predictions to previous computations in the 1/N expansion, finding precise agreement at large values of N .
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Cited by
Quantum entanglement in condensed matter systems
Laflorencie, N. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.06.008 · Cited by 765
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
Self-citationUniversality of long-distance AdS physics from the CFT bootstrap
Fitzpatrick, A. L., Kaplan, J., & Walters, M. T. (2014) · Journal of High Energy Physics · doi:10.1007/jhep08(2014)145 · Cited by 397
Deconfined Quantum Critical Points: Symmetries and Dualities
Wang, C., Nahum, A., Metlitski, M. A., Xu, C., & Senthil, T. (2017) · Physical Review X · doi:10.1103/physrevx.7.031051 · Cited by 359
Bootstrapping Mixed Correlators in the 3D Ising Model
Kosa, F., Pol, D., & Simmons-duffinb, D. (2016) · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · doi:10.1007/jhep11%282014%29109 · Cited by 317
Metadata
- Authors
- Kos, F., Poland, D., & Simmons-Duffin, D.
- Venue
- Journal of High Energy Physics
- Published
- 2014-06
- Volume
- 2014
- Issue
- 6
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2000573282
- Cited by
- 350
- References
- 0
- FWCI
- 19.65
- Type
- journal article
- Language
- en
- Open access
- diamond
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