Higher order RG flow on the Wilson line in N $$ \mathcal{N} $$ = 4 SYM
Abstract Extending earlier work, we find the two-loop term in the beta-function for the scalar coupling ζ in a generalized Wilson loop operator of the N $$ \mathcal{N} $$ = 4 SYM theory, working in the planar weak-coupling expansion. The beta-function for ζ has fixed points at ζ = ±1 and ζ = 0, corr...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2022)056 |
| _version_ | 1818752913744330752 |
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| author | M. Beccaria S. Giombi A. A. Tseytlin |
| author_facet | M. Beccaria S. Giombi A. A. Tseytlin |
| author_sort | M. Beccaria |
| collection | DOAJ |
| description | Abstract Extending earlier work, we find the two-loop term in the beta-function for the scalar coupling ζ in a generalized Wilson loop operator of the N $$ \mathcal{N} $$ = 4 SYM theory, working in the planar weak-coupling expansion. The beta-function for ζ has fixed points at ζ = ±1 and ζ = 0, corresponding respectively to the supersymmetric Wilson-Maldacena loop and to the standard Wilson loop without scalar coupling. As a consequence of our result for the beta-function, we obtain a prediction for the two-loop term in the anomalous dimension of the scalar field inserted on the standard Wilson loop. We also find a subset of higher-loop contributions (with highest powers of ζ at each order in ‘t Hooft coupling λ) coming from the scalar ladder graphs determining the corresponding terms in the five-loop beta-function. We discuss the related structure of the circular Wilson loop expectation value commenting, in particular, on consistency with a 1d defect version of the F-theorem. We also compute (to two loops in the planar ladder model approximation) the two-point correlators of scalars inserted on the Wilson line. |
| first_indexed | 2024-12-18T04:59:01Z |
| format | Article |
| id | doaj.art-a76d6eec43b74aa2b3e19bb17ade5504 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-18T04:59:01Z |
| publishDate | 2022-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a76d6eec43b74aa2b3e19bb17ade55042022-12-21T21:20:12ZengSpringerOpenJournal of High Energy Physics1029-84792022-01-012022112810.1007/JHEP01(2022)056Higher order RG flow on the Wilson line in N $$ \mathcal{N} $$ = 4 SYMM. Beccaria0S. Giombi1A. A. Tseytlin2Università del Salento, Dipartimento di Matematica e Fisica “Ennio De Giorgi” and I.N.F.N., Sezione di LecceDepartment of Physics, Princeton UniversityBlackett Laboratory, Imperial College LondonAbstract Extending earlier work, we find the two-loop term in the beta-function for the scalar coupling ζ in a generalized Wilson loop operator of the N $$ \mathcal{N} $$ = 4 SYM theory, working in the planar weak-coupling expansion. The beta-function for ζ has fixed points at ζ = ±1 and ζ = 0, corresponding respectively to the supersymmetric Wilson-Maldacena loop and to the standard Wilson loop without scalar coupling. As a consequence of our result for the beta-function, we obtain a prediction for the two-loop term in the anomalous dimension of the scalar field inserted on the standard Wilson loop. We also find a subset of higher-loop contributions (with highest powers of ζ at each order in ‘t Hooft coupling λ) coming from the scalar ladder graphs determining the corresponding terms in the five-loop beta-function. We discuss the related structure of the circular Wilson loop expectation value commenting, in particular, on consistency with a 1d defect version of the F-theorem. We also compute (to two loops in the planar ladder model approximation) the two-point correlators of scalars inserted on the Wilson line.https://doi.org/10.1007/JHEP01(2022)056AdS-CFT CorrespondenceSupersymmetry and Duality |
| spellingShingle | M. Beccaria S. Giombi A. A. Tseytlin Higher order RG flow on the Wilson line in N $$ \mathcal{N} $$ = 4 SYM Journal of High Energy Physics AdS-CFT Correspondence Supersymmetry and Duality |
| title | Higher order RG flow on the Wilson line in N $$ \mathcal{N} $$ = 4 SYM |
| title_full | Higher order RG flow on the Wilson line in N $$ \mathcal{N} $$ = 4 SYM |
| title_fullStr | Higher order RG flow on the Wilson line in N $$ \mathcal{N} $$ = 4 SYM |
| title_full_unstemmed | Higher order RG flow on the Wilson line in N $$ \mathcal{N} $$ = 4 SYM |
| title_short | Higher order RG flow on the Wilson line in N $$ \mathcal{N} $$ = 4 SYM |
| title_sort | higher order rg flow on the wilson line in n mathcal n 4 sym |
| topic | AdS-CFT Correspondence Supersymmetry and Duality |
| url | https://doi.org/10.1007/JHEP01(2022)056 |
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