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2-dimensional Regge gravity in the conformal gauge

Pietro Menotti·Pier Paolo Peirano
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Abstract

By restricting the functional integration to the Regge geometries, we give the discretized version of the well known path integral formulation of 2--dimensional quantum gravity in the conformal gauge. We analyze the role played by diffeomorphisms in the Regge framework and we give an exact expression for the Faddeev--Popov determinant related to a Regge surface; such an expression in the smooth limit goes over to the correct continuum result.

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Pietro Menotti, Pier Paolo Peirano. 1995-09-11. 2-dimensional Regge gravity in the conformal gauge. https://doi.org/10.1016/0920-5632(96)00138-7

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