Review article
Dirac fundamental quantization of gauge theories is the natural way of reference frames in modern physics
L. D. Lantsman
; Wissenschaftliche Gesellschaft bei Jüdische Gemeinde zu Rostock, Augusten Strasse, 20, 18055, Rostock, Germany
Abstract
We analyse two known principal approaches to the quantization of physical models. They are the Faddeev-Popov (FP) "heuristic" approach, based on fixing a gauge in the FP path integrals formalism, and the "fundamental" approach of Dirac based on the constraint-shell reduction of Hamiltonians with deleting of unphysical variables. The relativistically invariant FP "heuristic" approach deals with a small class of problems associated with S-matrices squared considering on-shell quantum fields. On the other hand, the "fundamental" quantization approach of Dirac involves the manifest relativistic covariance of quantum fields that survive the constraint-shell reduction of Hamiltonians. One can apply this approach to a broader class of problems than by studying S-matrices. Investigations of various bound states in QED and QCD are examples of such applications. In the present study, with the example of the Dirac "fundamental" quantization of the Minkowskian non-Abelian Higgs model (studied in its historical retrospective), we show obvious advantages of this quantization approach. The arguments in favour of the Dirac fundamental quantization of a physical model will be presented as a way of Einstein and Galilei relativity in modern physics.
Keywords
non-Abelian theory; BPS monopole; Minkowsli space; quantization scheme
Hrčak ID:
304578
URI
Publication date:
2.8.2009.
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