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

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

2000-10-06

arxiv.org/abs/hep-th/0010047v3

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTex, revised version

Scientific paper

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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