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 $C_J^f$ 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 $C_J^f$ 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.

arXiv comment18 pages, 11 figures

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• Emmy Noether looks at the deconfined quantum critical point
• Deconfined Quantum Critical Point on the Triangular Lattice
• Critical behavior of the QED${}_3$-Gross-Neveu-Yukawa model at four loops
• Scale-invariance and scale-breaking in parity-invariant three-dimensional QCD
• Landau-Khalatnikov-Fradkin transformation in three-dimensional quenched QED
• QED${}_3$-inspired three-dimensional conformal lattice gauge theory without fine-tuning
• Lattice Construction of Duality with Non-Abelian Gauge Fields in 2+1D
• Four-loop singularities of the massless fermion propagator in quenched three-dimensional QED
• Robustness of the semimetal state of Na3Bi and Cd3As2 against Coulomb interaction
• The relevance of the three dimensional Thirring coupling at finite temperature and density
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• A curious behavior of three-dimensional lattice Dirac operators coupled to monopole background
• Critical properties of three-dimensional many-flavour QEDs
• Transition in the spectral gap of the massless overlap Dirac operator coupled to abelian fields in three dimensions
• $\mathcal{N}=1$ supersymmetric three-dimensional QED in the large-$N_f$ limit and applications to super-graphene
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