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

Abstract

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.

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