三BMN关联函数:可积性与弦场论单圈失配
Three-BMN Correlation Functions: Integrability vs. String Field Theory One-Loop Mismatch
摘要:
我们比较了Gromov和Vieira最近提出的可积性表达式和Dobashi和Yoneya提出的基于有效相互作用顶点的弦场论表达式对标量SU(2)扇区中单圈(次领先)阶BMN算子的三点关联函数的计算。在单圈贡献中发现关联函数的形状因子之间的不一致。的顺序限制的问题,建议作为一个可能的解释这种差异。
英文摘要:
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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