Matter on granular space-time

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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12 pages, 1 figure, significant edit for clarity, solution examples added.

Scientific paper

We develop further the formalism of the non-Abelian gauge field theory on a cell complex space-time and show how the gauge-invariant action and the equations of motion for gauge fields interacting with spinors can be written without a reference to the geometrical nature of the cells of the cell complex. The general results are illustrated with examples of solutions of equations of motion for U(N) and SU(N) gauge groups.

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