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Modified Hamiltonian formalism for higher-derivative theories

The alternative version of Hamiltonian formalism for higher-derivative theories is proposed. As compared with the standard Ostrogradski approach it has the following advantages: (i) the Lagrangian, when expressed in terms of new variables yields proper equations of motion; no additional Lagrange multipliers are necessary (ii) the Legendre transformation can be performed in a straightforward way provided the Lagrangian is nonsingular in Ostrogradski sense. The generalization to singular Lagrangians as well as field theory are presented.

preprint2010arXivOpen access
Krzysztof AndrzejewskiJoanna GoneraPiotr MachalskiPawel Maslanka
math-phmath.MPhep-th
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Krzysztof AndrzejewskiJoanna GoneraPiotr MachalskiPawel Maslanka

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