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Fixing the Quantum Three-Point Function

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arxiv 1401.0384 v3 pith:62WV3YXM submitted 2014-01-02 hep-th cond-mat.stat-mechmath-phmath.MP

Fixing the Quantum Three-Point Function

classification hep-th cond-mat.stat-mechmath-phmath.MP
keywords methodcomputationconstantsinhomogeneousone-loopoperatorsquantumstructure
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We propose a new method for the computation of quantum three-point functions for operators in su(2) sectors of N=4 super Yang-Mills theory. The method is based on the existence of a unitary transformation relating inhomogeneous and long-range spin chains. This transformation can be traced back to a combination of boost operators and an inhomogeneous version of Baxter's corner transfer matrix. We reproduce the existing results for the one-loop structure constants in a simplified form and indicate how to use the method at higher loop orders. Then we evaluate the one-loop structure constants in the quasiclassical limit and compare them with the recent strong coupling computation.

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    In planar N=4 SYM, the large-spin OPE coefficient for two maximal giant gravitons and a twist-two operator scales as S^{d(g)}, with d(g) computed at arbitrary coupling.