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arXiv 0812.0354hep-thhep-lathep-ph
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规范/弦对偶中的Odderon

Odderon in Gauge/String Duality

Richard C. Brower, Marko Djurić, Chung-I Tan

摘要:

在高能量下,弹性强子截面,如$pp, \overline p p, π^{\pm} p$,由真空交换控制,在$1/N_c$展开的第一级,它被确定为BFKL Pomeron或它的强AdS对偶闭合弦Reggeized引力子\cite{Brower:2006ea}。然而,粒子反粒子截面的差异是由所谓的奥尔德龙给出的,奥尔德龙携带C = -1真空量子数,在与奇数个交换胶子的弱耦合中确定。在这里,我们表明,在对偶描述的奥尔德龙是ReggeizedKalb-Ramond场($B_{μν}$)的Neveu-Schwartz部门的封闭弦论。在强耦合的一阶情形下,通过推广Pomeron的引力对偶分析,计算了Odderon对\cite{Brower:2006ea} Super Yang-Mills的高能贡献.在Polchinski和Strassler \cite{Polchinski:2001tt}的类QCD $AdS^5$硬壁模型中估计了Odderon的禁闭效应。

英文摘要:

At high energies, elastic hadronic cross sections, such as $pp, \overline p p, π^{\pm} p$, 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 ($B_{μν}$) in the Neveu-Schwartz sector of closed string theory. To first order in strong coupling, the high energy contribution of Odderon is evaluated for ${\cal N} = 4$ 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 $AdS^5$ hardwall model of Polchinski and Strassler \cite{Polchinski:2001tt}.

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