Odderon in Gauge/String Duality

Abstract

At high energies, elastic hadronic cross sections, such as $pp,\overline{p}p,{\pi }^{\pm }p$, are dominated by vacuum exchange, which in leading order of the $1/N_c$ 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 ($B_{\mu \nu }$) in the Neveu-Schwartz sector of closed string theory. To first order in strong coupling, the high energy contribution of Odderon is evaluated for $\mathcal{N}=4$ 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 $Ad{S}^5$ hardwall model of Polchinski and Strassler \cite{Polchinski:2001tt}.

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

References in corpus (7)

• Conformal collider physics: Energy and charge correlations
• The Pomeron and Gauge/String Duality
• Eikonal Approximation in AdS/CFT: Conformal Partial Waves and Finite N Four-Point Functions
• On The Pomeron at Large 't Hooft Coupling
• On the Eikonal Approximation in AdS Space
• How can the Odderon be detected at RHIC and LHC
• I-odd sector of the Klebanov-Strassler theory

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• New Regimes of Stringy (Holographic) Pomeron and High Multiplicity pp and pA Collisions
• T-odd Leading-Twist Quark TMDs at Small $x$
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