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arxiv: gr-qc/0012038 · v2 · submitted 2000-12-11 · 🌀 gr-qc · hep-th· math-ph· math.MP· math.SG· quant-ph

Covariant Geometric Prequantization of Fields

classification 🌀 gr-qc hep-thmath-phmath.MPmath.SGquant-ph
keywords geometriccovariantprequantizationaspectsbracketbundlescliffordcontext
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A geometric prequantization formula for the Poisson-Gerstenhaber bracket of forms found within the DeDonder-Weyl Hamiltonian formalism earlier is presented. The related aspects of covariant geometric quantization of field theories are sketched. In particular, the importance of the framework of Clifford and spinor bundles and superconnections in this context is underlined.

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