New covariant Hamilton formalism for field theory
Physics Department, Ochanomizu University, 2-1-1 Ootsuka Bunkyo, Tokyo, Japan
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Published online: 5 September 2013
A novel covariant Hamilton formalism for field theories is proposed in terms of multi-contact structure which is a higher rank generalization of contact 1-form. This formulation is naturally derived from our previous work, Finsler-Kawaguchi Lagrange formulation. This new covariant Hamilton formulation has a strong covariance so that we can take not only time but also spacetime parameter arbitrarily. In other words, our formulation preliminarily includes the concept of spacetime and we should think of the solution submanifold as our spacetime.
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