Dual QED3 at "NF = 1/2" is an interacting CFT in the infrared
Abstract
We study the fate of weakly coupled dual QED3 in the infrared, that is, a single two-component Dirac fermion coupled to an emergent U(1) gauge field, but without Chern-Simons term. This theory has recently been proposed as a dual description of 2D surfaces of certain topological insulators. Using the renormalization group, we find that the interplay of gauge fluctuations with generated interactions in the four-fermi sector stabilizes an interacting conformal field theory (CFT) with finite four-fermi coupling in the infrared. The emergence of this CFT is due to cancellations in the -function of the four-fermi coupling special to "NF = 1/2". We also quantify how a possible "strong" Dirac fermion duality between a free Dirac cone and dual QED3 would constrain the universal constants of the topological current correlator of the latter.
Keywords
Cite
@article{arxiv.1605.05347,
title = {Dual QED3 at "NF = 1/2" is an interacting CFT in the infrared},
author = {Dietrich Roscher and Emilio Torres and Philipp Strack},
journal= {arXiv preprint arXiv:1605.05347},
year = {2016}
}
Comments
21 pages, 8 figures; v2 minor typos fixed