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arXiv · 1509.05292

Quantum Yang-Mills field theory

Marco Frasca
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Abstract

We show that the Dyson-Schwinger set of equations for the Yang-Mills theory can be exactly solved till the two-point function. This is obtained given a set of nonlinear waves solving the classical equations of motion. 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.

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Marco Frasca. 2015-09-17. Quantum Yang-Mills field theory. https://doi.org/10.1140/epjp%2Fi2017-11321-4

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