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

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dc.creatorMenotti, Pietro
dc.creatorPeirano, Pier Paolo
dc.date1995-10-07
dc.date.accessioned2026-07-07T04:21:31Z
dc.date.available2026-07-07T04:21:31Z
dc.descriptionBy 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.
dc.description8 pages, latex. Talk given at the XVIII International Workshop on High Energy Physics and Field Theory; Protvino, Russia, June 1995
dc.identifierhttps://arxiv.org/abs/hep-th/9510040
dc.identifierhttp://arxiv.org/abs/hep-th/9510040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/54352
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Lattice
dc.titleConformal gauge fixing and Faddeev-Popov determinant in 2-dimensional Regge gravity
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