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Exploring the spectrum of regularized bosonic string theory

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Contribution for the JETP special issue in honor of V.A.Rubakov’s 60th birthday

Abstract

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.

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Authors and Affiliations

  1. The Niels Bohr Institute, Copenhagen University, Copenhagen, DK-2100, Denmark

    J. Ambjørn & Y. Makeenko

  2. IMAPP, Radboud University, Nijmegen, 6525, AJ, The Netherlands

    J. Ambjørn

  3. Institute of Theoretical and Experimental Physics, Moscow, 117218, Russia

    Y. Makeenko

Authors
  1. J. Ambjørn
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  2. Y. Makeenko
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Correspondence to J. Ambjørn.

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Ambjørn, J., Makeenko, Y. Exploring the spectrum of regularized bosonic string theory. J. Exp. Theor. Phys. 120, 470–476 (2015). https://doi.org/10.1134/S1063776115030024

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  • DOI: https://doi.org/10.1134/S1063776115030024

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