7 papers found.

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We study the asymptotic volume dependence of the heavy-heavy-light three-point functions in the \( \mathcal{N}=4 \) Super-Yang-Mills theory using the hexagon bootstrap approach, where the volume is the length of the heavy operator. We extend the analysis of our previous short letter [1] to the general case where the heavy operators can be in any rank one sector and the light ...

We study the scalar products between Bethe states in the XXZ spin chain with anisotropy |Δ| > 1 in the semi-classical limit where the length of the spin chain and the number of magnons tend to infinity with their ratio kept finite and fixed. Our method is a natural yet non-trivial generalization of similar methods developed for the XXX spin chain. The final result can be written in ...

We study the heavy-heavy-light (HHL) three-point functions in the planar \( \mathcal{N} \) = 4 super-Yang-Mills theory using the recently proposed hexagon bootstrap program [1]. We prove the conjecture of Bajnok, Janik and Wereszczynski [2] on the polynomial L-dependence of HHL structure constant up to the leading finite-size corrections, where L is the length of the heavy ...

In the recent publication [1] the spin vertex was introduced as a new approach for computing three-point functions in \( \mathcal{N}=4 \) SYM. In this note we consider the BMN limit of the spin vertex for scalar excitations and show that it reproduces the string vertex in the light-cone string field theory which describes the string interactions in the pp-wave background at the ...

In this paper we consider a special kind of three-point functions of HHL type at weak coupling in \( \mathcal{N}=4 \) SYM theory and analyze its volume dependence. At strong coupling this kind of three-point functions were studied recently by Bajnok, Janik and Wereszczynski [1]. The authors considered some cases of HHL correlator in the \( \mathfrak{s}\mathfrak{u}(2) \) sector and, ...

We propose a new method for the computation of quantum three-point functions for operators in \( \mathfrak{s}\mathfrak{u} \)(2) sectors of \( \mathcal{N} \) = 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 ...

We consider a particular case of the 3-point function of local single-trace operators in the scalar sector of planar \( \mathcal{N}=4 \) supersymmetric Yang-Mills, where two of the fields are su(3) type, while the third one is su(2) type. We show that this tree-level 3-point function can be expressed in terms of scalar products of su(3) Bethe vectors. Moreover, if the second level ...