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- W2811270003 abstract "We present a geometric framework for discrete classical field theories, where fields are modeled as morphisms defined on a discrete grid in the base space, and take values in a Lie groupoid. We describe the basic geometric setup and derive the field equations from a variational principle. We also show that the solutions of these equations are multisymplectic in the sense of Bridges and Marsden. The groupoid framework employed here allows us to recover not only some previously known results on discrete multisymplectic field theories, but also to derive a number of new results, most notably a notion of discrete Lie-Poisson equations and discrete reduction. In a final section, we establish the connection with discrete differential geometry and gauge theories on a lattice." @default.
- W2811270003 created "2018-07-10" @default.
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- W2811270003 date "2005-11-27" @default.
- W2811270003 modified "2023-09-26" @default.
- W2811270003 title "Lagrangian field theories on Lie groupoids" @default.
- W2811270003 hasPublicationYear "2005" @default.
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