Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-10-23
JHEP 0712:069,2007
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, 7 figures in 11 files
Scientific paper
10.1088/1126-6708/2007/12/069
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.
Casteill Pierre-Yves
Janik Romuald A.
Jarosz Andrzej
Kristjansen Charlotte
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