Scale anomaly and "soft" pomeron in QCD

Dmitri Kharzeev*, Eugene Levin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We propose a new non-perturbative approach to hadronic interactions at high energies and small momentum transfer, which is based on the scale anomaly of QCD and emphasizes the rôle of semi-classical vacuum fields. We find that the hadron scattering amplitudes exhibit Regge behavior and evaluate the intercept α(0) of the corresponding trajectory. Both the intercept and the scale for the slope of the trajectory appear to be determined by the energy density of non-perturbative QCD vacuum (the gluon condensate). Numerically, we find Δ≡α(0)-1=0.08÷0.1 , consistent with the values ascribed phenomenologically to the "soft" pomeron. For arbitrary numbers of colors Nc and flavors Nf , Δ is found to be proportional to (Nf/Nc)2 ; however, in the large Nc (Nf fixed) limit, Δ∼Nc0 .

Original languageEnglish
Pages (from-to)351-363
Number of pages13
JournalNuclear Physics B
Issue number1-2
StatePublished - 3 Jul 2000


FundersFunder number
Israeli Academy of Science and Humanities
US Department of EnergyDE-AC02-98CH10886
Bloom's Syndrome Foundation9800276
Israel Science Foundation


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