Classical gluodynamics in curved space-time and the soft pomeron

D. Kharzeev*, E. Levin, K. Tuchin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


QCD at the classical level possesses scale invariance which is broken by quantum effects. This "dimensional transmutation" phenomenon can be mathematically described by formulating classical gluodynamics in a curved, conformally flat, space-time with non-vanishing cosmological constant. We study QCD high-energy scattering in this theory. We find that the properties of the scattering amplitude at small momentum transfer are determined by the energy density of vacuum fluctuations. The approach gives rise to the power growth of the total hadron-hadron cross section with energy, i.e., the pomeron. The intercept of the pomeron and the multiplicity of produced particles are evaluated. We also speculate about a possible link between conformal anomaly and TeV scale quantum gravity.

Original languageEnglish
Pages (from-to)21-30
Number of pages10
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number1-2
StatePublished - 31 Oct 2002


FundersFunder number
Israeli Academy of Science and HumanityDE-FG03-00ER41132
National Science FoundationPHY94-07194
U.S. Department of EnergyDE-AC02-98CH10886
German-Israeli Foundation for Scientific Research and DevelopmentI-620-22.14/1999
United States-Israel Binational Science Foundation98000276
Israel Science Foundation


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