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The Pomeron and gauge/string duality

2007; Springer Nature; Volume: 2007; Issue: 12 Linguagem: Inglês

10.1088/1126-6708/2007/12/005

1127-2236

Richard C. Brower, Joseph Polchinski, Matthew J. Strassler, Chung-I Tan,

Quantum Chromodynamics and Particle Interactions

The traditional description of high-energy small-angle scattering in QCD has two components — a soft Pomeron Regge pole for the tensor glueball, and a hard BFKL Pomeron in leading order at weak coupling. On the basis of gauge/string duality, we present a coherent treatment of the Pomeron. In large-N QCD-like theories, we use curved-space string-theory to describe simultaneously both the BFKL regime and the classic Regge regime. The problem reduces to finding the spectrum of a single j-plane Schrödinger operator. For ultraviolet-conformal theories, the spectrum exhibits a set of Regge trajectories at positive t, and a leading j-plane cut for negative t, the cross-over point being model-dependent. For theories with logarithmically-running couplings, one instead finds a discrete spectrum of poles at all t, where the Regge trajectories at positive t continuously become a set of slowly-varying and closely-spaced poles at negative t. Our results agree with expectations for the BFKL Pomeron at negative t, and with the expected glueball spectrum at positive t, but provide a framework in which they are unified. Effects beyond the single Pomeron exchange are briefly discussed.