Faddeev-Popov determinant in 2-dimensional Regge gravity.
Pietro Menotti, Pier Paolo Peirano
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 π to 4π and in the continuum limit it goes over to the correct result.
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