QCD and Total Cross-sections

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We discuss models for total cross-sections, show their predictions for photon-photon collisions and compare them with the recent LEP measurements. We show that the extrapolations to high center of mass energies within various models differ by large factors at high energies and discuss the precision required from future measurements at the proposed Linear Collider which would allow to distinguish between them.
7 pages, 4 figures, laTeX, requires sprocl.sty, added at the end. To appear in the Proceedings of XXIX International Symposium on Mutliparticle Dynamics, Brwon University, U.S.A., June 99

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