Work

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

Year: 2000

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.hep-th/0010047

Authors: Colatto, L. P., Penna, A. L. A., Polito, C. M. M.

Language: English

Topic: Algebraic and Geometric Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Fundação de Apoio à Pesquisa do Distrito Federal, Fundação de Empreendimentos Científicos e Tecnológicos

OpenAlex ID: W1925722063

Cites: 3

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Related to: 10