English

Three-BMN Correlation Functions: Integrability vs. String Field Theory One-Loop Mismatch

High Energy Physics - Theory 2015-06-15 v1

Abstract

We compare calculations of the three-point correlation functions of BMN operators at the one-loop (next-to-leading) order in the scalar SU(2) sector from the integrability expression recently suggested by Gromov and Vieira, and from the string field theory expression based on the effective interaction vertex by Dobashi and Yoneya. A disagreement is found between the form-factors of the correlation functions in the one-loop contributions. The order-of-limits problem is suggested as a possible explanation of this discrepancy.

Keywords

Cite

@article{arxiv.1305.3198,
  title  = {Three-BMN Correlation Functions: Integrability vs. String Field Theory One-Loop Mismatch},
  author = {Waldemar Schulgin and A. V. Zayakin},
  journal= {arXiv preprint arXiv:1305.3198},
  year   = {2015}
}

Comments

18 pages

R2 v1 2026-06-22T00:16:23.061Z