Constraint-free analysis of relativistic strings

Physics

Scientific paper

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Equations Of Motion, Minkowski Space, Quantum Theory, Relativistic Theory, String Theory, Covariance, Lorentz Transformations

Scientific paper

A general solution of the equations of motion for a classical relativistic string in Minkowski space is presented. For an 'open' string the solution is determined by a single real null curve which satisfies a quasi-periodicity condition. A formula is deduced which generates all such curves in terms of freely specifiable functions. For a 'closed' string two such curves are required. The theory establishes a rigorous basis for the numerical investigation of 'cosmic strings', and also forms a starting point for a constraint-free Lorentz covariant analysis of the quantum relativistic theory.

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