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# 0 61 10 19 v 1 8 N ov 2 00 6 A gauge-invariant discrete analog of the Yang-Mills equations on a double complex

@inproceedings{Sushch2006061, title={0 61 10 19 v 1 8 N ov 2 00 6 A gauge-invariant discrete analog of the Yang-Mills equations on a double complex}, author={Volodymyr Sushch}, year={2006} }

- Published 2006

An intrinsically defined gauge-invariant discrete model of the YangMills equations on a combinatorial analog of R is constructed. We develop several algebraic structures on the matrix-valued cochains (discrete forms) that are analogs of objects in differential geometry. We define a combinatorial Hodge star operator based on the use of a double complex construction. Difference self-dual and anti-self-dual equations will be given. In the last section we discus the question of generalizing our… CONTINUE READING

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