EXPLORING THE SPECTRUM OF REGULARIZED BOSONIC STRING THEORY
Ambjorn J., Makeenko Y.

Received: October 20, 2014

DOI: 10.7868/S0044451015030155

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We implement a UV regularization of the bosonic string by truncating its mode expansion and keeping the regularized theory ``as diffeomorphism invariant as possible''. We compute the regularized determinant of the 2d Laplacian for the closed string winding around a compact dimension, obtaining the effective action in this way. The minimization of the effective action reliably determines the energy of the string ground state for a long string and/or for a large number of space-time dimensions. We discuss the possibility of a scaling limit when the cutoff is taken to infinity. Contribution for the JETP special issue in honor of V. A. Rubakov's 60th birthday