A Dimakis and F Muller-Hoissen 1994 J. Phys. A: Math. Gen. 27 3159 doi:10.1088/0305-4470/27/9/028
A Dimakis and F Muller-Hoissen
Show affiliationsWe develop differential calculus and gauge theory on a finite set G. An elegant formulation is obtained when G is supplied with a group structure and in particular for a cyclic group. Connes' two-point model (1986) (which is an essential ingredient of his reformulation of the standard model of elementary particle physics) is recovered in our approach. Reductions of the universal differential calculus to 'lower-dimensional' differential calculi are considered. The 'complete reduction' leads to a differential calculus on a periodic lattice.
02.30.-f Function theory, analysis
81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)
15A57 Other types of matrices (Hermitian, skew-Hermitian, etc.)
Issue 9 (7 May 1994)
A Dimakis and F Muller-Hoissen 1994 J. Phys. A: Math. Gen. 27 3159
P B Thomas and D Dhar 1994 J. Phys. A: Math. Gen. 27 2257
R W Penney et al 1993 J. Phys. A: Math. Gen. 26 3681
A Dimakis et al 1993 J. Phys. A: Math. Gen. 26 1927
B Derrida et al 1993 J. Phys. A: Math. Gen. 26 1493
N Brunel et al 1992 J. Phys. A: Math. Gen. 25 5017
A W Sandvik 1992 J. Phys. A: Math. Gen. 25 3667
Y S Yang and C J Thompson 1991 J. Phys. A: Math. Gen. 24 L279
E B Lin 1991 J. Phys. A: Math. Gen. 24 L1045
M Wilkinson et al 1991 J. Phys. A: Math. Gen. 24 175