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Quantization of fields on principal bundles

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Czechoslovak Journal of Physics B Aims and scope

Abstract

A constructive method of quantization of free gauge fields is presented. In particular, by using a geometric approach (classical gauge fields as connections on principal fibre bundles) and the Borchers-Uhlmann method, an algebraic quantum field theory of gauge fields is constructed. Thus, a linearized version of a quantum field theory of non-Abelian gauge fields is obtained generalizing Bongaarts' results for the Abelian U(1)-theory.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Technische Universität, Leibnitzstrasse 4, D-3392, Clausthal-Zellerfeld, Bundesrepublik Deutschland

    H. -D. Doebner & F. B. Paseman

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  1. H. -D. Doebner
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  2. F. B. Paseman
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Doebner, H.D., Paseman, F.B. Quantization of fields on principal bundles. Czech J Phys 32, 430–438 (1982). https://doi.org/10.1007/BF01596200

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  • DOI: https://doi.org/10.1007/BF01596200

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