The bootstrap condition for many reggeized gluons and the photon structure function at low x and large number of colours.

Abstract

The bootstrap condition is generalized to $n$ reggeized gluons. As a result it is demonstrated that the intercept generated by $n$ reggeized gluons cannot be lower than the one for $n=2$. Arguments are presented that in the limit $N_c\to \infty$ the bootstrap condition reduces the $n$ gluon chain with interacting neighbours to a single BFKL pomeron. In this limit the leading contribution from $n$ gluons corresponds to $n/2$ non-interacting BFKL pomerons (the $n/2$ pomeron cut). The sum over $n$ leads to a unitary ${\gamma }^{\ast }\gamma$ amplitude of the eikonal form.

21 pages, LATEX

References in corpus (2)

• Single and Double BFKL Pomeron Exchange and a Dipole Picture of High Energy Hard Processes
• Unitarity and the BFKL Pomeron

Cited by in corpus (4)

• ${\gamma }^{\ast }{\gamma }^{\ast }$ Cross Section at NLO and Properties of the BFKL Evolution at Higher Orders
• The high energy behavior of QCD: The effective action and the triple-Pomeron-vertex
• The C-Odd Four-Gluon State in the Color Glass Condensate
• The triple Pomeron vertex in large-N QCD and the pair-of-pants topology