Exactly solvable single-trace four point correlators in χCFT4
Abstract In this paper we study a wide class of planar single-trace four point correlators in the chiral conformal field theory (χCFT4) arising as a double scaling limit of the γ-deformed N $$ \mathcal{N} $$ = 4 SYM theory. In the planar (t’Hooft) limit, each of such correlators is described by a si...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP02(2021)146 |
| _version_ | 1819169694969495552 |
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| author | Sergey Derkachov Enrico Olivucci |
| author_facet | Sergey Derkachov Enrico Olivucci |
| author_sort | Sergey Derkachov |
| collection | DOAJ |
| description | Abstract In this paper we study a wide class of planar single-trace four point correlators in the chiral conformal field theory (χCFT4) arising as a double scaling limit of the γ-deformed N $$ \mathcal{N} $$ = 4 SYM theory. In the planar (t’Hooft) limit, each of such correlators is described by a single Feynman integral having the bulk topology of a square lattice “fishnet” and/or of an honeycomb lattice of Yukawa vertices. The computation of this class of Feynmann integrals at any loop is achieved by means of an exactly-solvable spin chain magnet with SO(1, 5) symmetry. In this paper we explain in detail the solution of the magnet model as presented in our recent letter and we obtain a general formula for the representation of the Feynman integrals over the spectrum of the separated variables of the magnet, for any number of scalar and fermionic fields in the corresponding correlator. For the particular choice of scalar fields only, our formula reproduces the conjecture of B. Basso and L. Dixon for the fishnet integrals. |
| first_indexed | 2024-12-22T19:23:35Z |
| format | Article |
| id | doaj.art-85a500df93df49148ec0478ff54fc489 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T19:23:35Z |
| publishDate | 2021-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-85a500df93df49148ec0478ff54fc4892022-12-21T18:15:19ZengSpringerOpenJournal of High Energy Physics1029-84792021-02-012021218610.1007/JHEP02(2021)146Exactly solvable single-trace four point correlators in χCFT4Sergey Derkachov0Enrico Olivucci1St. Petersburg Department of the Steklov Mathematical Institute of Russian Academy of SciencesII. Institut für Theoretische Physik, Universität HamburgAbstract In this paper we study a wide class of planar single-trace four point correlators in the chiral conformal field theory (χCFT4) arising as a double scaling limit of the γ-deformed N $$ \mathcal{N} $$ = 4 SYM theory. In the planar (t’Hooft) limit, each of such correlators is described by a single Feynman integral having the bulk topology of a square lattice “fishnet” and/or of an honeycomb lattice of Yukawa vertices. The computation of this class of Feynmann integrals at any loop is achieved by means of an exactly-solvable spin chain magnet with SO(1, 5) symmetry. In this paper we explain in detail the solution of the magnet model as presented in our recent letter and we obtain a general formula for the representation of the Feynman integrals over the spectrum of the separated variables of the magnet, for any number of scalar and fermionic fields in the corresponding correlator. For the particular choice of scalar fields only, our formula reproduces the conjecture of B. Basso and L. Dixon for the fishnet integrals.https://doi.org/10.1007/JHEP02(2021)1461/N ExpansionConformal Field TheoryIntegrable Field TheoriesLattice Integrable Models |
| spellingShingle | Sergey Derkachov Enrico Olivucci Exactly solvable single-trace four point correlators in χCFT4 Journal of High Energy Physics 1/N Expansion Conformal Field Theory Integrable Field Theories Lattice Integrable Models |
| title | Exactly solvable single-trace four point correlators in χCFT4 |
| title_full | Exactly solvable single-trace four point correlators in χCFT4 |
| title_fullStr | Exactly solvable single-trace four point correlators in χCFT4 |
| title_full_unstemmed | Exactly solvable single-trace four point correlators in χCFT4 |
| title_short | Exactly solvable single-trace four point correlators in χCFT4 |
| title_sort | exactly solvable single trace four point correlators in χcft4 |
| topic | 1/N Expansion Conformal Field Theory Integrable Field Theories Lattice Integrable Models |
| url | https://doi.org/10.1007/JHEP02(2021)146 |
| work_keys_str_mv | AT sergeyderkachov exactlysolvablesingletracefourpointcorrelatorsinchcft4 AT enricoolivucci exactlysolvablesingletracefourpointcorrelatorsinchcft4 |