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Solution of Constraints in Theory of Relativistic String

B. M. Barbashov·V. N. Pervushin
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Abstract

The Hamiltonian theory of a relativistic string is considered in a specific reference frame in terms the diffeo-invariant variables. The evolution parameter and energy invariant with respect to the time-coordinate transformations are constructed, so that the dimension of the kinemetric group of diffeomorphisms coincides with the dimension of a set of variables whose velocities are removed by the Gauss-type constraints in accordance with the second Noether theorem. This coincidence allows us to solve the energy constraint, and fulfil Dirac's Hamiltonian reduction.

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B. M. Barbashov, V. N. Pervushin. 2006-01-17. Solution of Constraints in Theory of Relativistic String. https://arxiv.org/abs/hep-th/0601115

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