Abstract
We have derived the first Noether theorem and Noether identities in canonical formalism for field theory with higher-order singular Lagrangian, which is a powerful tool to analyse Dirac constraint for such system. A gauge-variant system in canonical variables formalism must has Dirac constraint. For a system with first class constraint (FCC), we have developed an algorithm for construction of the gauge generator of such system. An application to the Podolsky generalized electromagnetic field was given.
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