Fermionic contribution to the anomalous dimension of twist-2 operators in N=4 SYM theory, critical indices and integrability
We compute the contribution to the anomalous dimension of the twist-2 operators in N=4 SYM theory, which is proportional to the number of fermion loops inside Feynman diagrams or, formally, to the number of fermions. The result was obtained by the method based on the calculation of critical indices...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-12-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269322007237 |
| _version_ | 1811320239997059072 |
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| author | V.N. Velizhanin |
| author_facet | V.N. Velizhanin |
| author_sort | V.N. Velizhanin |
| collection | DOAJ |
| description | We compute the contribution to the anomalous dimension of the twist-2 operators in N=4 SYM theory, which is proportional to the number of fermion loops inside Feynman diagrams or, formally, to the number of fermions. The result was obtained by the method based on the calculation of critical indices at the critical point by analogy with previous similar computations in scalar theories and in QCD. The obtained result is much simpler with compare to analogous results in QCD and almost satisfies the maximal transcendentality principle. A possible relation between the obtained result and integrability is discussed. |
| first_indexed | 2024-04-13T12:55:38Z |
| format | Article |
| id | doaj.art-322623913a624172bae4c732d4eaf50a |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-13T12:55:38Z |
| publishDate | 2022-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-322623913a624172bae4c732d4eaf50a2022-12-22T02:46:03ZengElsevierPhysics Letters B0370-26932022-12-01835137589Fermionic contribution to the anomalous dimension of twist-2 operators in N=4 SYM theory, critical indices and integrabilityV.N. Velizhanin0Theoretical Physics Division, NRC “Kurchatov Institute”, Petersburg Nuclear Physics Institute, Orlova Roscha, Gatchina, 188300, St. Petersburg, RussiaWe compute the contribution to the anomalous dimension of the twist-2 operators in N=4 SYM theory, which is proportional to the number of fermion loops inside Feynman diagrams or, formally, to the number of fermions. The result was obtained by the method based on the calculation of critical indices at the critical point by analogy with previous similar computations in scalar theories and in QCD. The obtained result is much simpler with compare to analogous results in QCD and almost satisfies the maximal transcendentality principle. A possible relation between the obtained result and integrability is discussed.http://www.sciencedirect.com/science/article/pii/S0370269322007237 |
| spellingShingle | V.N. Velizhanin Fermionic contribution to the anomalous dimension of twist-2 operators in N=4 SYM theory, critical indices and integrability Physics Letters B |
| title | Fermionic contribution to the anomalous dimension of twist-2 operators in N=4 SYM theory, critical indices and integrability |
| title_full | Fermionic contribution to the anomalous dimension of twist-2 operators in N=4 SYM theory, critical indices and integrability |
| title_fullStr | Fermionic contribution to the anomalous dimension of twist-2 operators in N=4 SYM theory, critical indices and integrability |
| title_full_unstemmed | Fermionic contribution to the anomalous dimension of twist-2 operators in N=4 SYM theory, critical indices and integrability |
| title_short | Fermionic contribution to the anomalous dimension of twist-2 operators in N=4 SYM theory, critical indices and integrability |
| title_sort | fermionic contribution to the anomalous dimension of twist 2 operators in n 4 sym theory critical indices and integrability |
| url | http://www.sciencedirect.com/science/article/pii/S0370269322007237 |
| work_keys_str_mv | AT vnvelizhanin fermioniccontributiontotheanomalousdimensionoftwist2operatorsinn4symtheorycriticalindicesandintegrability |