Do we need Feynman diagrams for higher orders perturbation theory?
High Energy Physics - Phenomenology
2015-06-04 v4 High Energy Physics - Theory
Abstract
We compute the two and three loop corrections to the beta function for Yang-Mills theories in the background gauge field method and using the background gauge field as the only source. The calculations are based on the separation of the one loop effective potential into zero and positive modes and are entirely analytical. No two or three loop Feynman diagrams are considered in the process.
Cite
@article{arxiv.1202.1368,
title = {Do we need Feynman diagrams for higher orders perturbation theory?},
author = {Renata Jora},
journal= {arXiv preprint arXiv:1202.1368},
year = {2015}
}
Comments
version published in Phys. Lett. B