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arXiv · 0710.4166

Quasilocality of joining/splitting strings from coherent states

P. -Y. Casteill·R. A. Janik·A. Jarosz·C. Kristjansen
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Abstract

Using the coherent state formalism we calculate matrix elements of the one-loop non-planar dilatation operator of ${\cal N}=4$ SYM between operators dual to folded Frolov-Tseytlin strings and observe a curious scaling behavior. We comment on the {\it qualitative} similarity of our matrix elements to the interaction vertex of a string field theory. In addition, we present a solvable toy model for string splitting and joining. The scaling behaviour of the matrix elements suggests that the contribution to the genus one energy shift coming from semi-classical string splitting and joining is small.

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P. -Y. Casteill, R. A. Janik, A. Jarosz, C. Kristjansen. 2007-10-23. Quasilocality of joining/splitting strings from coherent states. https://doi.org/10.1088/1126-6708%2F2007%2F12%2F069

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