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Evaluation of the one loop string path integral

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Abstract

We evaluate Polyakov's path integral for the sum over all closed surfaces with the topology of a torus, in the critical dimensiond = 26. The result is applied to the partition function and cosmological constant of the free bosonic string, and to tachyon scattering amplitudes.

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Authors and Affiliations

  1. Theory Group, Physics Department, University of Texas, 78712, Austin, TX, USA

    Joseph Polchinski

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  1. Joseph Polchinski
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Communicated by A. Jaffe

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Polchinski, J. Evaluation of the one loop string path integral. Commun.Math. Phys. 104, 37–47 (1986). https://doi.org/10.1007/BF01210791

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  • DOI: https://doi.org/10.1007/BF01210791

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