A Lagrangian Formulation of 2Dimensional Topological Gravity and ČechDeRham Cohomology
Abstract
We present a very simplified analysis of how one can overcome the Gribov problem in a nonabelian gauge theory. Our formulae, albeit quite simplified, show that possible breakdowns of the SlavnovTaylor identity could in principle come from singularities in space of gauge orbits. To test these ideas we exhibit the calculation of a very simple correlation function of 2dimensional topological gravity and we show how in this model the singularities of the moduli space induce a breakdown of the SlavnovTaylor identity. We comment on the technical relevance of the possibility of including the singularities into a finite number of cells of the moduli space.
 Publication:

arXiv eprints
 Pub Date:
 November 1995
 arXiv:
 arXiv:hepth/9511156
 Bibcode:
 1995hep.th...11156B
 Keywords:

 High Energy Physics  Theory
 EPrint:
 18 pages, plain Tex, based on talks given by C.M. Becchi at the ``International Symposium on BRS Symmetry on the Occasion of its 20th Anniversary'', RIMSKyoto University, September 1822, 1995, and at the Meeting of the EEC network on ``Gauge theories, Applied Supersymmetry and Quantum Gravity'', Leuven, July 1995