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Gauge Theories in the Momentum/Curvature Representation

Roman Jackiw
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Abstract

The gauge variance of wave functionals for a gauge theory quantized in the momentum (curvature) representation is described. It is shown that a gauge transformation gives rise to a cocycle, which for theories in two space-time dimensions is related to the Kirillov-Kostant form. Various derivations are presented, including one based on geometric (pre-) quantization. The formalism is applied to two dimensional gravity models that are equivalently described by "B-F" gauge theories.

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Roman Jackiw. 1996-04-08. Gauge Theories in the Momentum/Curvature Representation. https://arxiv.org/abs/hep-th/9604040

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