Three-BMN correlation functions: integrability vs. string field theory. One-loop mismatch

A bstract 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...

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Bibliographic Details
Published in:The journal of high energy physics 2013-10, Vol.2013 (10), p.1-19, Article 53
Main Authors: Schulgin, Waldemar, Zayakin, A. V.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Correlation
Elementary Particles
Field theory
High energy physics
Mathematical analysis
Operators
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
Scalars
String Theory
Strings
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP10(2013)053