English

High Energy QCD: Stringy Picture from Hidden Integrability

High Energy Physics - Theory 2014-11-18 v1 High Energy Physics - Phenomenology Exactly Solvable and Integrable Systems

Abstract

We discuss the stringy properties of high-energy QCD using its hidden integrability in the Regge limit and on the light-cone. It is shown that multi-colour QCD in the Regge limit belongs to the same universality class as superconformal N\cal{N}=2 SUSY YM with Nf=2NcN_f=2N_c at the strong coupling orbifold point. The analogy with integrable structure governing the low energy sector of N\cal{N}=2 SUSY gauge theories is used to develop the brane picture for the Regge limit. In this picture the scattering process is described by a single M2 brane wrapped around the spectral curve of the integrable spin chain and unifying hadrons and reggeized gluons involved in the process. New quasiclassical quantization conditions for the complex higher integrals of motion are suggested which are consistent with the SS-duality of the multi-reggeon spectrum. The derivation of the anomalous dimensions of the lowest twist operators is formulated in terms of the Riemann surfaces

Keywords

Cite

@article{arxiv.hep-th/0204183,
  title  = {High Energy QCD: Stringy Picture from Hidden Integrability},
  author = {A. Gorsky and I. I. Kogan and G. Korchemsky},
  journal= {arXiv preprint arXiv:hep-th/0204183},
  year   = {2014}
}

Comments

37 pages, 3 figures