### Abstract

We develop a formalism for computing sums over random surfaces which arise in all problems containing gauge invariance (like QCD, three-dimensional Ising model etc.). These sums are reduced to the exactly solvable quantum theory of the two-dimensional Liouville lagrangian. At D = 26 the string dynamics is that of harmonic oscillators as was predicted earlier by dual theorists, otherwise it is described by the nonlinear integrable theory.

Original language | English (US) |
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Pages (from-to) | 207-210 |

Number of pages | 4 |

Journal | Physics Letters B |

Volume | 103 |

Issue number | 3 |

DOIs | |

State | Published - Jul 23 1981 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

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## Cite this

Polyakov, A. M. (1981). Quantum geometry of bosonic strings.

*Physics Letters B*,*103*(3), 207-210. https://doi.org/10.1016/0370-2693(81)90743-7