English

The full strong coupling expansion of the cusp anomalous dimension

High Energy Physics - Theory 2026-03-19 v1

Abstract

We present the full transseries of the strong-coupling expansion of the cusp anomalous dimension in N=4{\cal N}=4 super Yang--Mills theory. This quantity admits an exact representation as a ratio of two determinants with particularly simple strong-coupling expansions. Nonperturbative contributions are classified by partitions into distinct non-negative odd integers and obey a universal structure. The corresponding Stokes constants are computed iteratively. The resulting resurgence pattern exhibits fermionic-type behavior.

Keywords

Cite

@article{arxiv.2603.17943,
  title  = {The full strong coupling expansion of the cusp anomalous dimension},
  author = {Zoltan Bajnok and Bercel Boldis and Dennis le Plat},
  journal= {arXiv preprint arXiv:2603.17943},
  year   = {2026}
}

Comments

4 pages, ancillary Mathematica file with 20 perturbative coefficients for D0 and D1