One-loop corrections to Bagger-Lambert theory
High Energy Physics - Theory
2008-11-26 v3
Abstract
We rewrite the Bagger-Lambert action for any Lie 3-algebra as a standard Chern- Simons action coupled to matter. We use this action to compute self-energies and vertex corrections at one-loop order. Non-renormalization of the coupling constant comes out as a direct consequence of the Lie 3-algebra structure underlying the Lie algebra.
Cite
@article{arxiv.0805.4443,
title = {One-loop corrections to Bagger-Lambert theory},
author = {Andreas Gustavsson},
journal= {arXiv preprint arXiv:0805.4443},
year = {2008}
}
Comments
18 pages, v2: scalar and fermion fields contribute an equal amount to the gluon selfenergy and do not cancel