The DOI matches its Crossref record; 44 of the 44 references it cites were found in a registry or an index.
Bootstrapping mixed correlators in the 3D Ising model
Open accessAbstract
We study the conformal bootstrap for systems of correlators involving nonidentical operators. The constraints of crossing symmetry and unitarity for such mixed correlators can be phrased in the language of semidefinite programming. We apply this formalism to the simplest system of mixed correlators in 3D CFTs with a ℤ2 global symmetry. For the leading ℤ2-odd operator σ and ℤ2-even operator ϵ, we obtain numerical constraints on the allowed dimensions (Δ σ , Δ ϵ ) assuming that σ and ϵ are the only relevant scalars in the theory. These constraints yield a small closed region in (Δ σ , Δ ϵ ) space compatible with the known values in the 3D Ising CFT.
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Cites
Critical phenomena and renormalization-group theory
Pelissetto, A., & Vicari, E. (2002) · Physics Reports · doi:10.1016/s0370-1573(02)00219-3 · Cited by 1,630
Scaling, universality, and renormalization: Three pillars of modern critical phenomena
Stanley, H. E. (1999) · Reviews of Modern Physics · doi:10.1103/revmodphys.71.s358 · Cited by 939
Bounding scalar operator dimensions in 4 D CFT
Rattazzi, R., Rychkov, V. S., Tonni, E., & Vichi, A. (2008) · Journal of High Energy Physics · doi:10.1088/1126-6708/2008/12/031 · Cited by 913
Holography from conformal field theory
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Conformal four point functions and the operator product expansion
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El-Showk, S., Paulos, M. F., Poland, D., Rychkov, S., Simmons–Duffin, D., & Vichi, A. (2014) · Journal of Statistical Physics · doi:10.1007/s10955-014-1042-7 · Cited by 591
Self-citationConformal partial waves and the operator product expansion
Dolan, F. A., & Osborn, H. (2004) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2003.11.016 · Cited by 558
Writing CFT correlation functions as AdS scattering amplitudes
Penedones, J. (2011) · Journal of High Energy Physics · doi:10.1007/jhep03(2011)025 · Cited by 540
The analytic bootstrap and AdS superhorizon locality
Fitzpatrick, A. L., Kaplan, J., Poland, D., & Simmons-Duffin, D. (2013) · Journal of High Energy Physics · doi:10.1007/jhep12(2013)004 · Cited by 513
Self-citationTensor representations of conformal algebra and conformally covariant operator product expansion
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Cited by
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-citationThe nonperturbative functional renormalization group and its applications
Dupuis, N., Canet, L., Eichhorn, A., Metzner, W., Pawlowski, J. M., Tissier, M., & Wschebor, N. (2021) · Physics Reports · doi:10.1016/j.physrep.2021.01.001 · Cited by 660
The conformal bootstrap at finite temperature
Iliesiu, L., Koloğlu, M., Mahajan, R., Perlmutter, E., & Simmons-Duffin, D. (2018) · Journal of High Energy Physics · doi:10.1007/jhep10(2018)070 · Cited by 133
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Metadata
- Authors
- Kos, F., Poland, D., & Simmons-Duffin, D.
- Venue
- Journal of High Energy Physics
- Published
- 2014-11
- Volume
- 2014
- Issue
- 11
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2166175802
- Cited by
- 299
- References
- 44
- FWCI
- 12.21
- Type
- journal article
- Language
- en
- Open access
- diamond
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