Quasilocality of joining/splitting strings from coherent states

2007/10/23 by P. -Y. Casteill, Pierre-Yves Casteill, Romuald A. Janik +5 · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1088/1126-6708/2007/12/069

published as JHEP 0712:069,2007 · 17 pages, 7 figures in 11 files

arxiv created 2007/10/23 · openalex publication_date 2007/12/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory

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• Extremal correlator of three vertex operators for circular winding strings in AdS 5 × S 5
• On the spectral problem of N = 4 SYM with orthogonal or symplectic gauge group
• Quantum Integrability for Three-Point Functions of Maximally Supersymmetric Yang-Mills Theory
• Non-planar ABJ theory and parity

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