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Lagrangian Formalism for Multiform Fields on Minkowski Spacetime

A. M. Moya·V. V. Fernández·W. A. Rodrigues Jr
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Abstract

We present an introduction to the mathematical theory of the Lagrangian formalism for multiform fields on Minkowski spacetime based on the multiform and extensor calculus. Our formulation gives a unified mathematical description for the main relativistic field theories including the gravitational field (which however will be discussed in a separate paper). We worked out several examples (including tricks of the trade), from simple to very sophisticated ones (like, e.g., the Dirac-Hestenes field on the more general gravitational background) which show the power and beauty of the formalism.

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A. M. Moya, V. V. Fernández, W. A. Rodrigues Jr. 2003-02-04. Lagrangian Formalism for Multiform Fields on Minkowski Spacetime. https://arxiv.org/abs/math-ph/0302007

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