Summary
ASU(2) gauge theory on the three-dimensional sphereS 3 is formulated in gauge-invariant variables. The Yang-Mills equations are written as Einstein equations with the right-hand side of a very simple form. A particular model where these equations reduce to a single differential equation of second order is studied. Then, a numerical method is used to obtain a specific solution of the corresponding equation.
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Zet, G., Gottlieb, I. & Manta, V. SU(2) Yang-Mills equations in gauge-invariant variables on three-dimensional sphere. Nuov Cim B 111, 607–614 (1996). https://doi.org/10.1007/BF02726652
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DOI: https://doi.org/10.1007/BF02726652