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

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 Added by Andrey Zayakin
 Publication date 2013
  fields
and research's language is English




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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.



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