English

Dual QED3 at "NF = 1/2" is an interacting CFT in the infrared

Strongly Correlated Electrons 2016-11-10 v2 Mesoscale and Nanoscale Physics High Energy Physics - Theory

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 β\beta-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