EDP Sciences, European Physical Journal Plus, 1(132)
DOI: 10.1140/epjp/i2017-11321-4
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We show that the Dyson-Schwinger set of equations for the Yang-Mills theory can be exactly solved till the two-point function. Translation invariance is maintained by the proper choice of the solution of the equation for the two-point function as devised by Coleman. The computation of the Dyson-Schwinger equations is performed in the same way as devised by Bender, Milton and Savage providing a set of partial differential equations whose proof of existence of the solutions is standard. So, the correlation functions of the theory could be proved to exist and the two-point function manifests a mass gap. ; Comment: 13 pages, no figure