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Canonical formalism and quantization of perturbative sector of higher-derivative theories
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The theories defined by Lagrangians containing second time derivative are considered. It is shown that if the second derivatives enter only the terms multiplied by coupling constant one can consistently define the perturbative sector via Dirac procedure. The possibility of introducing standard canonical variables is analysed in detail. The ambiguities in quantization procedure are pointed out.
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Canonical quantization for effective theories with perturbations altering degrees of freedom: a covariant phase space approach
Covariant phase space formalism enables perturbative canonical quantization of higher-derivative perturbed theories, verified on a solvable 2D charged particle model where perturbative results match exact expansion.
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