Deformation quantization of covariant fields

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After sketching recent advances and subtleties in classical relativistically covariant field theories, we give in this short Note some indications as to how the deformation quantization approach can be used to solve or at least give a better understanding of their quantization.
LaTeX file. 11 pages. To appear in Deformation Quantization: Proceedings of the meeting between mathematicians and theoretical physicists, Strasbourg, 2001. IRMA Lectures in Math. Theoret. Phys., Vol. 1, Walter De Gruyter, Berlin 2002, pp. 55--66

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