A rectilinear relativistic string is considered in the paper aiming at the investigation of a string as a model of mesons. During the investigation theory of groups, theory of systems with connections, calibration theory of a field have been used. As a result a group of the rectilinear string dynamic symmetry has been constructed as well as the calibration theory of a string field. The realistic string model of mesons, located on main trajectories has been also constructed. The results obtained have been used in the description of the low-energy physics of mesonsAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio
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