THE HAMILTONIAN FORMALISM IN THE MODEL OF THE RELATIVISTIC STRING WITH RIGIDITY

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Abstract
The model of the bosonic string with the Nambu-Goto action extended by the term proportional to the external curvature of the world sheet is explored. The external curvature of the world sheet is determined by the second order derivatives of the string coordinates. Thus, a modified Lagrangian is the singular Lagrangian of second order. The canonical variables for this theory are introduced, constraints are found and the Hamiltonian formulation of the classical dynamics in this theory is constructed. The transition to the quantum theory is briefly discussed.