Flavor and topological current correlators in parity-invariant three-dimensional QED
Abstract
We use lattice regularization to study the flow of the flavor-triplet fermion current central charge from its free field value in the ultraviolet limit to its conformal value in the infrared limit of the parity-invariant three-dimensional QED with two flavors of two-component fermions. The dependence of on the scale is weak with a tendency to be below the free field value at intermediate distances. Our numerical data suggests that the flavor-triplet fermion current and the topological current correlators become degenerate within numerical errors in the infra-red limit, thereby supporting an enhanced O(4) symmetry predicted by strong self-duality. Further, we demonstrate that fermion dynamics is necessary for the scale-invariant behavior of parity-invariant three-dimensional QED by showing that the pure gauge theory with non-compact gauge action has non-zero bilinear condensate.
Keywords
Cite
@article{arxiv.1705.11143,
title = {Flavor and topological current correlators in parity-invariant three-dimensional QED},
author = {Nikhil Karthik and Rajamani Narayanan},
journal= {arXiv preprint arXiv:1705.11143},
year = {2017}
}
Comments
18 pages, 11 figures