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arXiv · hep-th/9510040

Conformal gauge fixing and Faddeev-Popov determinant in 2-dimensional Regge gravity

Pietro Menotti·Pier Paolo Peirano
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Abstract

By regularizing the conical singularities by means of a segment of a sphere or pseudosphere and then taking the regulator to zero, we compute exactly the Faddeev--Popov determinant related to the conformal gauge fixing for a piece-wise flat surface with the topology of the sphere. The result is analytic in the opening angles of the conical singularities in the interval ($π$, $4π$) and in the smooth limit goes over to the continuum expression. The Riemann-Roch relation on the dimensions of ker$(L^†L)$ and ker$(LL^†)$ is satisfied.

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Pietro Menotti, Pier Paolo Peirano. 1995-10-07. Conformal gauge fixing and Faddeev-Popov determinant in 2-dimensional Regge gravity. https://arxiv.org/abs/hep-th/9510040

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