Journal article
An alternative to diagrams for the critical O(N) model: dimensions and structure constants to order 1/N2
- Abstract:
- We apply the methods of modern analytic bootstrap to the critical O(N) model in a 1/N expansion. At infinite N the model possesses higher spin symmetry which is weakly broken as we turn on 1/N. By studying consistency conditions for the correlator of four fundamental fields we derive the CFT-data for all the (broken) currents to order 1/N, and the CFT-data for the non-singlet currents to order 1/N2. To order 1/N our results are in perfect agreement with those in the literature. To order 1/N2 we reproduce known results for anomalous dimensions and obtain a variety of new results for structure constants, including the global symmetry central charge CJ to this order.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 864.6KB, Terms of use)
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- Publisher copy:
- 10.1007/JHEP01(2020)063
Authors
- Publisher:
- Springer
- Journal:
- Journal of High Energy Physics More from this journal
- Volume:
- 2020
- Issue:
- 1
- Article number:
- 63
- Publication date:
- 2020-01-13
- Acceptance date:
- 2019-12-16
- DOI:
- EISSN:
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1029-8479
- ISSN:
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1126-6708
- Language:
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English
- Keywords:
- Pubs id:
-
1086123
- Local pid:
-
pubs:1086123
- Deposit date:
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2021-05-05
- ARK identifier:
Terms of use
- Copyright holder:
- LF Alday et al.
- Copyright date:
- 2020
- Rights statement:
- © The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
- Licence:
- CC Attribution (CC BY)
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