String theory in Lorentz-invariant light cone gauge

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Quantization of 4-dimensional Nambu-Goto theory of open string in light cone gauge, related in Lorentz-invariant way with the world sheet, is performed. Obtained quantum theory has no anomalies in Lorentz group. Determined spin-mass spectra of the theory have Regge-like behavior and do not contain the tachyon. Vertex operators of interaction theory, acting in the physical subspace, are constructed.
15 pages, 9 figures, 3 tables; talk at Int. School of Subnuclear Physics, Aug 29 - Sept 7 1998, Erice (Sicily); submitted to Int.J.Mod.Phys.A

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