Casimir energy of the Nambu-Goto string with Gauss-Bonnet term and point-like masses at the ends

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We calculate (using zeta function regularization) the Casimir energy of the rotating Nambu-Goto string with the Gauss-Bonnet term in the action and point-like masses at the ends. The resulting value turns out to be negative for all values of the parameters of the model.
LaTeX, 8 pages, 2 EPS figures, accepted for publication in Acta Phys.Pol. B

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