TY - JOUR
T1 - Scale anomaly and "soft" pomeron in QCD
AU - Kharzeev, Dmitri
AU - Levin, Eugene
N1 - Funding Information:
The work of D.K. was supported by the US Department of Energy (Contract # DE-AC02-98CH10886) and RIKEN. The research of E.L. was supported in part by the Israel Science Foundation, founded by the Israeli Academy of Science and Humanities, and BSF # 9800276.
PY - 2000/7/3
Y1 - 2000/7/3
N2 - 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 .
AB - 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 .
UR - http://www.scopus.com/inward/record.url?scp=0034600606&partnerID=8YFLogxK
U2 - 10.1016/S0550-3213(00)00158-9
DO - 10.1016/S0550-3213(00)00158-9
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:0034600606
SN - 0550-3213
VL - 578
SP - 351
EP - 363
JO - Nuclear Physics B
JF - Nuclear Physics B
IS - 1-2
ER -