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

TL;DR

This paper compares one-loop three-BMN correlation functions from integrability and string field theory, finding discrepancies likely due to order-of-limits issues, highlighting challenges in matching gauge theory and string theory results.

Contribution

It identifies a mismatch between integrability-based and string field theory calculations of three-BMN correlators at one-loop, emphasizing the order-of-limits problem.

Findings

Disagreement between integrability and string field theory results at one-loop

Order-of-limits problem may explain the discrepancy

Highlights challenges in matching gauge and string theory computations

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.