Faddeev-Popov determinant in 2-dimensional Regge gravity.

Details Faddeev-Popov determinant in 2-dimensional Regge gravity. Faddeev-Popov determinant in 2-dimensional Regge gravity.

1995-03-27

arxiv.org/abs/hep-th/9503181v1

Phys.Lett. B353 (1995) 444-449

Physics

High Energy Physics

High Energy Physics - Theory

12 pages (REVTEX 3.0)

Scientific paper

10.1016/0370-2693(95)00603-I

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.

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