One-loop corrections to Bagger-Lambert theory
Abstract
Description
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.
18 pages, v2: scalar and fermion fields contribute an equal amount to the gluon selfenergy and do not cancel
18 pages, v2: scalar and fermion fields contribute an equal amount to the gluon selfenergy and do not cancel