The Functional Measure of Gauge Theories in the Presence of Gribov Horizons

Abstract

We discuss the formal structure of a functional measure for Gauge Theories preserving the Slavnov-Taylor identity in the presence of Gribov horizons. Our construction defines a gauge-fixed measure in the framework of the lattice regularization by dividing the configuration space into patches with different gauge-fixing prescriptions. Taking into account the bounds described by Dell'Antonio and Zwanziger we discuss the behaviour of the measure in the continuum limit for finite space-time volume.

8 pages, 1 figure, LateX2e using ws-p8-50x6-00.cls (included), to appear in the proceedings of "Path Integrals from peV to TeV", Florence, August 25-29 1998