A Dual Non-abelian Yang-Mills Amplitude in Four Dimensions

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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9 pages, 7 figures. v2: updated notation, expanded introduction, discussed tests, re-ordered bibliography

Scientific paper

10.1016/j.nuclphysb.2008.12.016

We derive an explicit formula for the vertex amplitude of dual SU(2)
Yang-Mills theory in four dimensions on the lattice, and provide an efficient
algorithm (of order j to the fourth power) for its computation. This opens the
way for both numerical and analytic development of dual methods, previously
limited to the case of three dimensions.

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