English

Odderon in Gauge/String Duality

High Energy Physics - Theory 2009-12-10 v2 High Energy Physics - Lattice High Energy Physics - Phenomenology

Abstract

At high energies, elastic hadronic cross sections, such as pp,pp,π±ppp, \overline p p, \pi^{\pm} p, are dominated by vacuum exchange, which in leading order of the 1/Nc1/N_c expansion has been identified as the BFKL Pomeron or its strong AdS dual the closed string Reggeized graviton \cite{Brower:2006ea}. However the difference of particle anti-particle cross sections are given by a so-called Odderon, carrying C = -1 vacuum quantum numbers identified in weak coupling with odd numbers of exchanged gluons. Here we show that in the dual description the Odderon is the Reggeized Kalb-Ramond field (BμνB_{\mu\nu}) in the Neveu-Schwartz sector of closed string theory. To first order in strong coupling, the high energy contribution of Odderon is evaluated for N=4{\cal N} = 4 Super Yang-Mills by a generalization of the gravity dual analysis for Pomeron in Ref. \cite{Brower:2006ea}. The consequence of confinement on the Odderon are estimated in the confining QCD-like AdS5AdS^5 hardwall model of Polchinski and Strassler \cite{Polchinski:2001tt}.

Cite

@article{arxiv.0812.0354,
  title  = {Odderon in Gauge/String Duality},
  author = {Richard C. Brower and Marko Djurić and Chung-I Tan},
  journal= {arXiv preprint arXiv:0812.0354},
  year   = {2009}
}

Comments

69 pages, 6 figures. Title change to better reflect the content of the paper. More discussion added in the Comments section. To be published in JHEP

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