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arXiv · 1111.2349

Tailoring Three-Point Functions and Integrability III. Classical Tunneling

Nikolay Gromov·Amit Sever·Pedro Vieira
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Abstract

We compute three-point functions between one large classical operator and two large BPS operators at weak coupling. We consider operators made out of the scalars of N=4 SYM, dual to strings moving in the sphere. The three-point function exponentiates and can be thought of as a classical tunneling process in which the classical string-like operator decays into two classical BPS states. From an Integrability/Condensed Matter point of view, we simplified inner products of spin chain Bethe states in a classical limit corresponding to long wavelength excitations above the ferromagnetic vacuum. As a by-product we solved a new long-range Ising model in the thermodynamic limit.

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Nikolay Gromov, Amit Sever, Pedro Vieira. 2011-11-09. Tailoring Three-Point Functions and Integrability III. Classical Tunneling. https://doi.org/10.1007/jhep07(2012)044

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