7 papers found.

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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 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 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 ...