Journal Article

PUBDB-2026-03284

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Structure constants from Q systems and separation of variables

Bargheer, T. (Corresponding author)DESY* ; Bercini, C. ; Lefundes, G. ; Ryan, P.DESY*

2026
American Physical Society Ridge, NY

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Please use a persistent id in citations: doi:10.1103/tm1j-wxq7  doi:10.3204/PUBDB-2026-03284

Report No.: DESY-26-045; arXiv:2603.26617

Abstract: We introduce a novel method to compute structure constants from Q functions in the scalar sector of planar N=4 super Yang-Mills (SYM) and related theories. The method derives from operatorial as well as functional separation of variables, and the structure constants are expressed as determinants of matrices whose entries are integrals over products of Q functions. In this framework, each operator is twisted by an external angle, mirroring the cusped Maldacena-Wilson loop. The structure constants of local single-trace operators in N=4 SYM are recovered in the untwisting limit, where we obtain a one-to-one correspondence between our key building blocks and those of the hexagon formalism. Retaining appropriate twists, our structure constants also perfectly match those of the orbifold points of N=4 SYM. Our results thus far are valid at leading order in the weak-coupling expansion, but their formulation in terms of Q functions provides a natural starting point for including loop corrections. Many of the methods we develop in this work apply more generally to the computation of correlation functions in integrable models.

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Contributing Institute(s):

1. Theorie (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)
3. DFG project G:(GEPRIS)390833306 - EXC 2121: Das Quantisierte Universum II (390833306) (390833306)
4. EXACTC - Solving gauge theories in 4D: Exact correlation functions from integrability (865075) (865075)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2026

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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 ; 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, C. ; Lefundes, G. ; Ryan, P. (Corresponding author)DESY*
Structure Constants from Q-Systems and Separation of Variables
(2026) [10.3204/PUBDB-2026-01037]2026     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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