Perturbative construction of self-dual configurations on the torus

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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latex file. 32 pages and 4 figures(24 eps files)

Scientific paper

10.1088/1126-6708/2000/09/033

We develop a perturbative expansion which allows the construction of non-abelian self-dual SU(2) Yang-Mills field configurations on the four-dimensional torus with topological charge 1/2. The expansion is performed around the constant field strength abelian solutions found by 't Hooft. Next to leading order calculations are compared with numerical results obtained with lattice gauge theory techniques.

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