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On Finite Matrix Bi-Dimensional Formulation of $D=4n+2$ Classical Field Models

L. P. Colatto·A. L. A. Penna·C. M. M. Polito
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Abstract

We introduce a basis for a bi-dimensional finite matrix calculus and a bi-dimensional finite matrix action principle. As an application, we analyze scalar and spinorial fields in $D=4n+2$ in this approach. We verify that to establish a bi-dimensional matrix action principle we have to define a Dirac-algebra-modified Lebniz rule. From the bi-dimensional equations of motion, we obtain a matrix holomorphic feature for massless matrix scalar and spinorial fields.

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L. P. Colatto, A. L. A. Penna, C. M. M. Polito. 2001-03-06. On Finite Matrix Bi-Dimensional Formulation of $D=4n+2$ Classical Field Models. https://arxiv.org/abs/hep-th/0010047

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