Constraint algorithm for k-presymplectic hamiltonian systems: application to singular field theories
PublisherWorld Scientific and Engineering Academy and Society (WSEAS)
Rights accessOpen Access
The k-symplectic formulation of ﬁeld theories is specially simple, since only tangent and cotangent bundles are needed in its description. Its deﬁning elements show a close relationship with those in the symplectic formulation of mechanics. It will be shown that this relationship also stands in the presymplectic case. In a natural way, one can mimick the presymplectic constraint algorithm to obtain a constraint algorithm that can be applied to k-presymplectic ﬁeld theory, and more particularly to the Lagrangian and Hamiltonian formulations of ﬁeld theories deﬁned by a singular Lagrangian, as well as to the uniﬁed Lagrangian–Hamiltonian formalism (Skinner–Rusk formalism) for k-presymplectic ﬁeld theory. Two examples of application of the algorithm are also analyzed.
CitationGràcia Sabaté, Xavier; Martín Grillo, Rubén; Román Roy, Narciso. Constraint algorithm for k-presymplectic hamiltonian systems: application to singular field theories. "International Journal of Geometric Methods in Modern Physics", 1 Agost 2009, vol. 6, núm. 5, p. 851-872.