Functional integration on two-dimensional Regge geometries

  title={Functional integration on two-dimensional Regge geometries},
  author={Pietro Menotti and Pier Paolo Peirano},
  journal={Nuclear Physics},
By adopting the standard definition of diffeomorphisms for a Regge surface we give an exact expression of the Liouville action both for the sphere and the torus topology in the discretized case. The results are obtained in a general way by choosing the unique self-adjoint extension of the Lichnerowicz operator satisfying the Riemann-Roch relation. We also give the explicit form of the integration measure for the conformal factor. For the sphere topology the theory is exactly invariant under the… Expand
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