BFKL Pomeron in (2 + 1)-dimensional QCD

D. Y. Ivanov*, R. Kirschner, E. M. Levin, L. N. Lipatov, L. Szymanowski, M. Wüsthoff

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


We investigate high-energy scattering in spontaneously broken Yang-Mills gauge theory in 2+1 space-time dimensions and present the exact solution of the leading In 5 BFKL equation. The solution is constructed in terms of special functions using the earlier results of two of us (L.N.L. and L.S.). The analytic properties of the f-channel partial wave as functions of the angular momentum and momentum transfer have been studied. We find in the angular momentum plane (i) a Regge pole whose trajectory has an intercept larger than 1 and (ii) a fixed cut with the rightmost singularity located alj= 1. The massive Yang-Mills theory can be considered as a theoretical model for the (nonperturbative) Pomeron. We study the main structure and property of the solution including the Pomeron trajectory at momentum transfer different from zero. The relation to the results of Li and Tan for the massless case is discussed.

Original languageEnglish
Article number074010
Pages (from-to)740101-7401013
Number of pages6660913
JournalPhysical Review D
Issue number7
StatePublished - 1998
Externally publishedYes


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