Stampedes I: fishnet OPE and octagon Bootstrap with nonzero bridges
Abstract Some quantities in quantum field theory are dominated by so-called leading logs and can be re-summed to all loop orders. In this work we introduce a notion of stampede which is a simple time-evolution of a bunch of particles which start their life in a corner — on the very right say — and h...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2022)017 |
| _version_ | 1811323646401052672 |
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| author | Enrico Olivucci Pedro Vieira |
| author_facet | Enrico Olivucci Pedro Vieira |
| author_sort | Enrico Olivucci |
| collection | DOAJ |
| description | Abstract Some quantities in quantum field theory are dominated by so-called leading logs and can be re-summed to all loop orders. In this work we introduce a notion of stampede which is a simple time-evolution of a bunch of particles which start their life in a corner — on the very right say — and hop their way to the opposite corner — on the left — through the repeated action of a quantum Hamiltonian. Such stampedes govern leading logs quantities in certain quantum field theories. The leading euclidean OPE limit of correlation functions in the fishnet theory and null double-scaling limits of correlators in N $$ \mathcal{N} $$ = 4 SYM are notable examples. As an application, we use these results to extend the beautiful bootstrap program of Coronado [1] to all octagons functions with arbitrary diagonal bridge length. |
| first_indexed | 2024-04-13T14:00:10Z |
| format | Article |
| id | doaj.art-9d4e7cc5b98d4f6ea2d737e6f209bdbc |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T14:00:10Z |
| publishDate | 2022-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-9d4e7cc5b98d4f6ea2d737e6f209bdbc2022-12-22T02:44:05ZengSpringerOpenJournal of High Energy Physics1029-84792022-07-012022713410.1007/JHEP07(2022)017Stampedes I: fishnet OPE and octagon Bootstrap with nonzero bridgesEnrico Olivucci0Pedro Vieira1Perimeter Institute for Theoretical PhysicsPerimeter Institute for Theoretical PhysicsAbstract Some quantities in quantum field theory are dominated by so-called leading logs and can be re-summed to all loop orders. In this work we introduce a notion of stampede which is a simple time-evolution of a bunch of particles which start their life in a corner — on the very right say — and hop their way to the opposite corner — on the left — through the repeated action of a quantum Hamiltonian. Such stampedes govern leading logs quantities in certain quantum field theories. The leading euclidean OPE limit of correlation functions in the fishnet theory and null double-scaling limits of correlators in N $$ \mathcal{N} $$ = 4 SYM are notable examples. As an application, we use these results to extend the beautiful bootstrap program of Coronado [1] to all octagons functions with arbitrary diagonal bridge length.https://doi.org/10.1007/JHEP07(2022)0171/N ExpansionScale and Conformal SymmetriesSupersymmetric Gauge TheoryGauge Symmetry |
| spellingShingle | Enrico Olivucci Pedro Vieira Stampedes I: fishnet OPE and octagon Bootstrap with nonzero bridges Journal of High Energy Physics 1/N Expansion Scale and Conformal Symmetries Supersymmetric Gauge Theory Gauge Symmetry |
| title | Stampedes I: fishnet OPE and octagon Bootstrap with nonzero bridges |
| title_full | Stampedes I: fishnet OPE and octagon Bootstrap with nonzero bridges |
| title_fullStr | Stampedes I: fishnet OPE and octagon Bootstrap with nonzero bridges |
| title_full_unstemmed | Stampedes I: fishnet OPE and octagon Bootstrap with nonzero bridges |
| title_short | Stampedes I: fishnet OPE and octagon Bootstrap with nonzero bridges |
| title_sort | stampedes i fishnet ope and octagon bootstrap with nonzero bridges |
| topic | 1/N Expansion Scale and Conformal Symmetries Supersymmetric Gauge Theory Gauge Symmetry |
| url | https://doi.org/10.1007/JHEP07(2022)017 |
| work_keys_str_mv | AT enricoolivucci stampedesifishnetopeandoctagonbootstrapwithnonzerobridges AT pedrovieira stampedesifishnetopeandoctagonbootstrapwithnonzerobridges |