Quantum Yang-Mills field theory
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.
Cite
@article{arxiv.1509.05292,
title = {Quantum Yang-Mills field theory},
author = {Marco Frasca},
journal= {arXiv preprint arXiv:1509.05292},
year = {2017}
}
Comments
15 pages, no figure. Version accepted for publication in European Physical Journal Plus