On the dual variables description of Yang-Mills theory
High Energy Physics - Theory
2011-06-03 v1
Abstract
The partition function of four dimensional SO(4) Yang-Mills theory is rewritten in terms of variables admitting straightforward relation to the partition function of pure 4D gravity. The gauge action turns into first-order Hilbert-Palatini action for Einstein gravity with a simple extra term added. The proposed relation can be substantiated as a duality for the partition functions provided a special gauge is imposed for the gravity. The same method allows to find a closed expression for the partition function of the SO(4) gauge theory.
Keywords
Cite
@article{arxiv.1106.0384,
title = {On the dual variables description of Yang-Mills theory},
author = {A. G. Shuvaev},
journal= {arXiv preprint arXiv:1106.0384},
year = {2011}
}
Comments
22 pages, no figures