Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-04-21
Phys.Lett. B357 (1995) 138-144
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 pages, LATEX
Scientific paper
10.1016/0370-2693(95)00867-K
The forward elastic amplitude for scattering of real and weakly virtual photons is studied in the framework of the theory of reggeized gluons, with large $N_{c}$ and a running coupling constant introduced in the manner which preserves the bootstrap condition. Transition from a single to multiple pomeron exchanges is observed as $x$ gets smaller. For very low $x$ the amplitude aquires an eikonal form. The photon structure function reveals a strong violation of scaling: it grows as $Q^{2}$. As a function of $x$ it behaves as $(\ln(1/x)\ln\ln(1/x))^{2}$. Correspondingly the cross-section for physical photons grows with energy as $(\ln s\ln\ln s)^{2}$. Hadronic structure functions and cross-sections are also briefly discussed.
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