Differential Calculus and Discrete Structures

1994/01/28 by Aristophanes Dimakis, A. Dimakis, Dimakis, A. +2
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Mathematical Analysis and Transform Methods #advanced mathematical theories #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9401150

6 pages, LaTeX, GOET-TP 98/93, contribution to the proceedings of the International Symposium ``Generalized Symmetries in Physics'', ASI Clausthal 1993

arxiv created 1994/01/28 · arxiv updated 2009/11/30

Abstract

There is a deformation of the ordinary differential calculus which leads from the continuum to a lattice (and induces a corresponding deformation of physical theories). We recall some of its features and relate it to a general framework of differential calculus on discrete sets. This framework generalizes the usual (lattice) discretization.

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