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arxiv: 1605.05347 · v2 · pith:PMXFTMG2new · submitted 2016-05-17 · ❄️ cond-mat.str-el · cond-mat.mes-hall· hep-th

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

classification ❄️ cond-mat.str-el cond-mat.mes-hallhep-th
keywords dualdiracfour-fermiinfraredqed3coupledcouplingfermion
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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 $\beta$-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.

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