Abstract
We study the graviton Regge trajectory in Holographic QCD as a model for high energy scattering processes dominated by soft pomeron exchange. This is done by considering spin J fields from the closed string sector that are dual to glueball states of even spin and parity. In particular, we construct a model that governs the analytic continuation of the spin J field equation to the region of real J < 2, which includes the scattering domain of negative Maldelstam variable t. The model leads to approximately linear Regge trajectories and is compatible with the measured values of 1.08 for the intercept and 0.25 GeV$^{-2}$ for the slope of the soft pomeron. The intercept of the secondary pomeron trajectory is in the same region of the subleading trajectories, made of mesons, proposed by Donnachie and Landshoff, and should therefore be taken into account.
Highlights
The Pomeron plays a crucial role in QCD Regge kinematics, for processes dominated by exchange of the vacuum quantum numbers
We study the graviton Regge trajectory in holographic QCD as a model for high energy scattering processes dominated by soft-Pomeron exchange
The Pomeron is conjectured to be the graviton Regge trajectory of the dual string theory [3]. This fact has been explored in diffractive processes dominated by Pomeron exchange, like low-x deep inelastic scattering (DIS) [4,5,6], deeply virtual Compton scattering [7], vector meson production [8] and double diffractive Higgs production [9]
Summary
The Pomeron plays a crucial role in QCD Regge kinematics, for processes dominated by exchange of the vacuum quantum numbers This includes elastic scattering of soft states at high energies and low momentum transfer. Dual models that start from a conformal limit and introduce a hard wall cutoff in anti–de Sitter (AdS) space give even better fits to data, without imposing any restriction in the kinematics [6]. This is a strong motivation in favor of treating soft-Pomeron physics using the gauge/gravity duality. We show that the Regge theory for spin J exchanges in the dual geometry leads to the behavior (1) for the amplitude between soft probes
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