The Functional Measure of Gauge Theories in the Presence of Gribov Horizons
C. Becchi, S. Giusto, C. Imbimbo
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.
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