Journal Article

PUBDB-2024-05417

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Wilson Loops with Lagrangians: Large-Spin Operator Product Expansion and Cusp Anomalous Dimension Dictionary

Bargheer, T.DESY* ; Bercini Vargas, C. (Corresponding author)DESY* ; Fernandes, B. ; Gonçalves, V. ; Mann, J.DESY*

2025
APS College Park, Md.

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Please use a persistent id in citations: doi:10.1103/PhysRevLett.134.141601  doi:10.3204/PUBDB-2024-05417

Report No.: DESY-24-085; arXiv:2406.04294

Abstract: In the context of planar conformal gauge theory, we study five-point correlation functions between the interaction Lagrangian and four of the lightest single-trace, gauge-invariant scalar primaries. After performing two light-cone OPEs, we express this correlator in terms of the three-point functions between two leading-twist spinning operators and the Lagrangian. For finite values of spin, we compute these structure constants in perturbation theory up to two loops in $\mathcal{N}=4$ Super Yang-Mills theory. Large values of spin are captured by null polygon kinematics, where we use dualities with null polygon Wilson loops as well as factorization properties to bootstrap the universal behavior of the structure constants at all loops. We find explicit maps that relate the Lagrangian structure constants with the leading-twist anomalous dimension. From the large-spin map, we recover the cusp anomalous dimension at strong and weak coupling, including genus-one terms.

Note: 10 pages, 2 figures, 1 mathematica notebook

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project G:(GEPRIS)460391856 - Feldtheorie lösen mittels Integrabilität (460391856) (460391856)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2025

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Database coverage:
; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Electronics and Telecommunications Collection ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; Essential Science Indicators ; IF >= 5 ; JCR ; Nationallizenz ; SCOAP3 sponsored Journal ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Bargheer, T.DESY* ; Bercini Vargas, C. (Corresponding author)DESY* ; Fernandes, B. ; Gonçalves, V. ; Mann, J.DESY*
Wilson Loops with Lagrangians: large spin OPE and cusp anomalous dimension dictionary
[10.3204/PUBDB-2024-01995]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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