Spectrum of Yang-Mills theory in 3 and 4 dimensions

Abstract

We solve exactly the Dyson-Schwinger equations for Yang-Mills theory in 3 and 4 dimensions. This permits us to obtain the exact correlation functions till order 2. In this way, the spectrum of the theory is straightforwardly obtained and comparison with lattice data can be accomplished. The results are in exceedingly good agreement with an error well below 1\%. This extends both to 3 and 4 dimensions and varying the degree of the gauge group. These results provide a strong support to the value of the lattice computations and show once again how precise can be theoretical computations in quantum field theory.

Comments: 5 pages, 3 tables, no figures. Fixed a minor problem in eq.(27). Contribution to the proceedings of the 20th International Conference in Quantum Chromodynamics (QCD 17), 3 July - 7 July 2017, Montpellier, France