Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-10-07
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, latex. Talk given at the XVIII International Workshop on High Energy Physics and Field Theory; Protvino, Russia, June
Scientific paper
By 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 ($\pi$, $4\pi$) and in the smooth limit goes over to the continuum expression. The Riemann-Roch relation on the dimensions of ker$(L^{\dag}L)$ and ker$(LL^{\dag})$ is satisfied.
Menotti Pietro
Peirano Pier Paolo
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