Faddeev-Popov determinant in 2-dimensional Regge gravity.

Abstract

By regularizing the singularities appearing in the two dimensional Regge calculus by means of a segment of a sphere or pseudo-sphere and then taking the regulator to zero, we obtain a simple formula for the gauge volume which appears in the functional integral. Such a formula is an analytic function of the opening of the conic singularity in the interval from $\pi$ to $4\pi$ and in the continuum limit it goes over to the correct result.

12 pages (REVTEX 3.0)

References in corpus (4)

• Failure of the Regge approach in two dimensional quantum gravity
• Further results on Functional Determinants of Laplacians in Simplicial Complexes
• Discrete Gravity in One Dimension
• The Ising transition in 2D simplicial quantum gravity - can Regge calculus be right?

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• The C_2 heat-kernel coefficient in the presence of boundary discontinuities
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• Measuring the string susceptibility in 2D simplicial quantum gravity using the Regge approach
• Gravity and Random Surfaces on the Lattice - A Review
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• Group theoretical derivation of Liouville action for Regge surfaces
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• Making quantum gravity calculable
• Non invariant zeta-function regularization in quantum Liouville theory
• Conformal modes in simplicial quantum gravity and the Weil-Petersson volume of moduli space
• Super Liouville action for Regge surfaces