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arXiv · hep-th/9902009

Master equation in the general gauge: on the problem of infinite reducibility

G. A. Vilkovisky
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Abstract

The master equation is quantized. This is an example of quantization of a gauge theory with nilpotent generators. No ghosts are needed for a generation of the gauge algebra. The point about the nilpotent generators is that one can't write down a single functional integral for this theory. One has to write down a product of two coupled functional integrals and take a square root. In the special gauge where the gauge conditions are commuting, the functional integrals decouple, and one recovers the known result.

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G. A. Vilkovisky. 1999-01-31. Master equation in the general gauge: on the problem of infinite reducibility. https://arxiv.org/abs/hep-th/9902009

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