Valid for Much of "Realistic" Fields: A Non-Generational Conjecture For Deriving All First-Class Constraints at Once

Details Valid for Much of "Realistic" Fields: A Non-Generational Conjecture For Deriving All First-Class Constraints at Once Valid for Much of "Realistic" Fields: A Non-Generational Conjecture For Deriving All First-Class Constraints at Once

2008-04-08

arxiv.org/abs/0804.1298v2

Physics

Mathematical Physics

replaced due to major changes

Scientific paper

We propose a single-step non-generational conjecture of all first class constraints,(involving only variables compatible with canonical Poisson brackets), for a realistic gauge singular field theory. We verify our proposal for the free electromagnetic field, Yang-Mills fields in interaction with spinor and scalar fields, and we also verify our proposal in the case gravitational field. We show that the first class constraints which were reached at using the standard Dirac's multi-generational algorithm will be reproduced using the proposed conjecture. We make no claim that our conjecture will be valid for all mathematically plausible Lagrangians; but, nevertheless the examples we consider here show that this conjecture is valid for wide range or much of realistic fields of physical interest that are know to exist and are manifested in nature

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