Publicação
Hexagons and correlators in the fishnet theory
| Resumo: | We investigate the hexagon formalism in the planar 4d conformal fishnet theory. This theory arises from N = 4 SYM by a deformation that preserves both conformal symmetry and integrability. Based on this relation, we obtain the hexagon form factors for a large class of states, including the BMN vacuum, some excited states, and the Lagrangian density. We apply these form factors to the computation of several correlators and match the results with direct Feynman diagrammatic calculations. We also study the renormalisation of the hexagon form factor expansion for a family of diagonal structure constants and test the procedure at higher orders through comparison with a known universal formula for the Lagrangian insertion. |
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| Autores principais: | Basso, Benjamin |
| Outros Autores: | Caetano, João; Fleury, Thiago |
| Assunto: | Conformal Field Theory Integrable Field Theories Nonperturbative Effects |
| Ano: | 2020 |
| País: | Brasil |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | IBICT |
| Idioma: | inglês |
| Origem: | Oasisbr |
| Resumo: | We investigate the hexagon formalism in the planar 4d conformal fishnet theory. This theory arises from N = 4 SYM by a deformation that preserves both conformal symmetry and integrability. Based on this relation, we obtain the hexagon form factors for a large class of states, including the BMN vacuum, some excited states, and the Lagrangian density. We apply these form factors to the computation of several correlators and match the results with direct Feynman diagrammatic calculations. We also study the renormalisation of the hexagon form factor expansion for a family of diagonal structure constants and test the procedure at higher orders through comparison with a known universal formula for the Lagrangian insertion. |
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