TY - JOUR

T1 - Classical gluodynamics in curved space-time and the soft pomeron

AU - Kharzeev, D.

AU - Levin, E.

AU - Tuchin, K.

N1 - Funding Information:
We are grateful to J. Ellis, E. Gotsman, A.B. Kaidalov, D.B. Kaplan, Yu. Kovchegov, U. Maor, L. McLerran, M. Pospelov, E. Shuryak, C.-I. Tan and I. Zahed for illuminating discussions on the subject and helpful comments. The work of D.K. was supported by the US Department of Energy under Contract No. DE-AC02-98CH10886. This research was supported in part by the BSF grant #98000276, by the GIF grant # I-620-22.14/1999 and by Israeli Science Foundation, founded by the Israeli Academy of Science and Humanity. The work of K.T. was sponsored in part by the US Department of Energy under Grant No. DE-FG03-00ER41132. The research of D.K. and K.T. was supported in part by the National Science Foundation under Grant No. PHY94-07194.

PY - 2002/10/31

Y1 - 2002/10/31

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0742298307&partnerID=8YFLogxK

U2 - 10.1016/S0370-2693(02)02729-6

DO - 10.1016/S0370-2693(02)02729-6

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AN - SCOPUS:0742298307

SN - 0370-2693

VL - 547

SP - 21

EP - 30

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-2

ER -