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

Colatto, L. P.; Penna, A. L. A.; Polito, C. M. M.

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

Authors

Colatto, L. P.

Penna, A. L. A.

Polito, C. M. M.

Description

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.
9 pages, LaTex, revised version