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 $N_{c}\rightarrow\infty$ 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.