The DOI matches its Crossref record; 31 of the 31 references it cites were found in a registry or an index.
Operator product expansion convergence in conformal field theory
Open accessAbstract
We clarify questions related to the convergence of the operator product expansion and conformal block decomposition in unitary conformal field theories (for any number of spacetime dimensions). In particular, we explain why these expansions are convergent in a finite region. We also show that the convergence is exponentially fast, in the sense that the operators of dimension above $\ensuremath{\Delta}$ contribute to correlation functions at most $\mathrm{exp}(\ensuremath{-}a\ensuremath{\Delta})$. Here the constant $a>0$ depends on the positions of operator insertions and we compute it explicitly.
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Cites
Infinite conformal symmetry in two-dimensional quantum field theory
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Bounding scalar operator dimensions in 4 D CFT
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Self-citationHolography from conformal field theory
Heemskerk, I., Penedones, J., Polchinski, J., & Sully, J. (2009) · Journal of High Energy Physics · doi:10.1088/1126-6708/2009/10/079 · Cited by 787
Solving the 3D Ising model with the conformal bootstrap
El-Showk, S., Paulos, M. F., Poland, D., Rychkov, S., Simmons–Duffin, D., & Vichi, A. (2012) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.86.025022 · Cited by 695
Self-citationConformal four point functions and the operator product expansion
Dolan, F. A., & Osborn, H. (2001) · Nuclear Physics B · doi:10.1016/s0550-3213(01)00013-x · Cited by 673
Is there a c-theorem in four dimensions?
Cardy, J. L. (1988) · Physics Letters B · doi:10.1016/0370-2693(88)90054-8 · Cited by 590
Bounding scalar operator dimensions in 4D CFTPreprint
Riccardo Rattazzi, A., Rychkov, S., Erik Tonni, C., & Vichi, A. (2011) · Cited by 578
Self-citationConformal partial waves and the 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-citationMaldacena, J., Simmons-Duffin, D., & Zhiboedov, A. (2017) · Journal of High Energy Physics · doi:10.1007/jhep01(2017)013 · Cited by 285
Entanglement Entropy at Large Central Charge
Hartman, T. (2013) · arXiv · doi:10.48550/arxiv.1303.6955 · Cited by 260
Hartnoll, S. A., Lucas, A., & Sachdev, S. (2016) · arXiv (Cornell University) · doi:10.48550/arxiv.1612.07324 · Cited by 258
Random statistics of OPE coefficients and Euclidean wormholes
Belin, A., & de Boer, J. (2021) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ac1082 · Cited by 131
Metadata
- Authors
- Pappadopulo, D., Rychkov, S., Espin, J., & Rattazzi, R.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2012-11-26
- Volume
- 86
- Issue
- 10
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W1827400607
- Cited by
- 270
- References
- 31
- FWCI
- 17.51
- Type
- journal article
- Language
- en
- Open access
- green
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