On the Yang-Mills two-loop effective action with wordline methods
High Energy Physics - Theory
2011-06-24 v1
Abstract
We derive the two-loop effective action for covariantly constant field strength of pure Yang-Mills theory in the presence of an infrared scale. The computation is done in the framework of the worldline formalism, based on a generalization procedure of constructing multiloop effective actions in terms of the bosonic worldline path integral. The two-loop beta-function is correctly reproduced. This is the first derivation in the worldline formulation, and serves as a nontrivial check on the consistency of the multiloop generalization procedure in the worldline formalism.
Cite
@article{arxiv.0812.0008,
title = {On the Yang-Mills two-loop effective action with wordline methods},
author = {Jan M. Pawlowski and Michael G. Schmidt and Jian-Hui Zhang},
journal= {arXiv preprint arXiv:0812.0008},
year = {2011}
}
Comments
8 pages, 4 figures