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Faddeev-Popov determinant in 2-dimensional Regge gravity

1995/03/27 by Pietro Menotti, Pier Paolo Peirano
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-lat #hep-th

paper · pdf · doi:10.1016/0370-2693(95)00603-i

published as Phys.Lett. B353 (1995) 444-449 · 12 pages (REVTEX 3.0)

arxiv created 1995/03/27 · openalex publication_date 1995/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations