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

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

1998-11-02

arxiv.org/abs/hep-th/9811018v1

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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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