Higher Derivatives and Canonical Formalisms

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13pages Latex file

Scientific paper

10.1143/PTP.95.469

Path integral expressions for three canonical formalisms -- Ostrogradski's one, constrained one and generalized one -- of higher-derivative theories are given. For each fomalism we consider both nonsingular and singular cases. It is shown that three formalisms share the same path integral expressions. In paticular it is pointed out that the generalized canonical formalism is connected with the constrained one by a canonical transformation.

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