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首页> 外文期刊>Journal of High Energy Physics >Tailoring three-point functions and integrability III. Classical tunneling
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Tailoring three-point functions and integrability III. Classical tunneling

机译：定制三点功能和可集成性III。经典隧道

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摘要

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 ( mathcal{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.
机译：我们在弱耦合下计算一个大型经典算子和两个大型BPS算子之间的三点函数。我们考虑用（mathcal {N} = 4）SYM的标量制成的运算符，它对在球体内移动的字符串是双精度的。三点函数的幂运算可以看作是经典的隧穿过程，其中经典的类字符串算子会衰减为两个经典的BPS状态。从可积性/凝聚态的角度，我们简化了自旋链Bethe态的内积，其经典极限对应于铁磁真空以上的长波长激发。作为副产品，我们在热力学极限条件下解决了一个新的远程伊辛模型。

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