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On verification of the non-generational conjectural-derivation of first class constraints: HP monopole’s field case. (English) Zbl 1409.81154

Summary: In an earlier work we proposed a non-generational conjectural-derivation of all first class constraints (involving, only, variables compatible with canonical Poisson brackets) for “realistic” gauge (singular) field theories; and we verified the conjecture in cases of electromagnetic field, Yang-Mills fields interacting with scalar and spinor fields, and the gravitational field. Here, we will further verify our conjecture for the case of ’t Hooft-Polyakov (HP) monopole’s field (i.e. in the Higgs vacuum); and show that we will reproduce the results of the author [Int. J. Theor. Phys. 45, No. 6, 1197–1204 (2006; Zbl 1102.81069)], which were reached at using Dirac’s standard multi-generational algorithm.

MSC:

81T99 Quantum field theory; related classical field theories

Citations:

Zbl 1102.81069
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References:

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