We present a very simplified analysis of how one can overcome the Gribov problem in a non-abelian gauge theory. Our formulae, albeit quite simplified, show that possible breakdowns of the Slavnov-Taylor 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 2-dimensional topological gravity and we show how in this model the singularities of the moduli space induce a breakdown of the Slavnov-Taylor identity. We comment on the technical relevance of the possibility of including the singularities into a finite number of cells of the moduli space.
- Pub Date:
- November 1995
- High Energy Physics - Theory
- 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'', RIMS-Kyoto University, September 18-22, 1995, and at the Meeting of the EEC network on ``Gauge theories, Applied Supersymmetry and Quantum Gravity'', Leuven, July 1995