Long-range vector models at large N
Abstract We calculate various CFT data for the O(N) vector model with the long-range interaction, working at the next-to-leading order in the 1/N expansion. Our results provide additional evidence for the existence of conformal symmetry at the long-range fixed point, as well as the continuity of the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2021)194 |
| _version_ | 1818407346074812416 |
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| author | Noam Chai Mikhail Goykhman Ritam Sinha |
| author_facet | Noam Chai Mikhail Goykhman Ritam Sinha |
| author_sort | Noam Chai |
| collection | DOAJ |
| description | Abstract We calculate various CFT data for the O(N) vector model with the long-range interaction, working at the next-to-leading order in the 1/N expansion. Our results provide additional evidence for the existence of conformal symmetry at the long-range fixed point, as well as the continuity of the CFT data at the long-range to short-range crossover point s * of the exponent parameter s. We also develop the N > 1 generalization of the recently proposed IR duality between the long-range and the deformed short-range models, providing further evidence for its non-perturbative validity in the entire region d/2 < s < s * . |
| first_indexed | 2024-12-14T09:26:22Z |
| format | Article |
| id | doaj.art-6ccadc082c1647cd96fede52aa040b97 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T09:26:22Z |
| publishDate | 2021-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-6ccadc082c1647cd96fede52aa040b972022-12-21T23:08:10ZengSpringerOpenJournal of High Energy Physics1029-84792021-09-012021914010.1007/JHEP09(2021)194Long-range vector models at large NNoam Chai0Mikhail Goykhman1Ritam Sinha2The Racah Institute of Physics, The Hebrew University of JerusalemThe Racah Institute of Physics, The Hebrew University of JerusalemThe Racah Institute of Physics, The Hebrew University of JerusalemAbstract We calculate various CFT data for the O(N) vector model with the long-range interaction, working at the next-to-leading order in the 1/N expansion. Our results provide additional evidence for the existence of conformal symmetry at the long-range fixed point, as well as the continuity of the CFT data at the long-range to short-range crossover point s * of the exponent parameter s. We also develop the N > 1 generalization of the recently proposed IR duality between the long-range and the deformed short-range models, providing further evidence for its non-perturbative validity in the entire region d/2 < s < s * .https://doi.org/10.1007/JHEP09(2021)1941/N ExpansionConformal Field TheoryField Theories in Lower DimensionsNonperturbative Effects |
| spellingShingle | Noam Chai Mikhail Goykhman Ritam Sinha Long-range vector models at large N Journal of High Energy Physics 1/N Expansion Conformal Field Theory Field Theories in Lower Dimensions Nonperturbative Effects |
| title | Long-range vector models at large N |
| title_full | Long-range vector models at large N |
| title_fullStr | Long-range vector models at large N |
| title_full_unstemmed | Long-range vector models at large N |
| title_short | Long-range vector models at large N |
| title_sort | long range vector models at large n |
| topic | 1/N Expansion Conformal Field Theory Field Theories in Lower Dimensions Nonperturbative Effects |
| url | https://doi.org/10.1007/JHEP09(2021)194 |
| work_keys_str_mv | AT noamchai longrangevectormodelsatlargen AT mikhailgoykhman longrangevectormodelsatlargen AT ritamsinha longrangevectormodelsatlargen |