Anomalous dimensions of monopole operators in three-dimensional quantum electrodynamics

Abstract

The space of local operators in three-dimensional quantum electrodynamics contains monopole operators that create $n$ units of gauge flux emanating from the insertion point. This paper uses the state-operator correspondence to calculate the anomalous dimensions of these monopole operators perturbatively to next-to-leading order in the $1/N_f$ expansion, thus improving on the existing leading order results in the literature. Here, $N_f$ is the number of two-component complex fermion flavors. The scaling dimension of the $n=1$ monopole operator is $0.265N_f-0.0383+O(1/N_f)$ at the infrared conformal fixed point.

33 pages, 2 figures; v2: refs added, typos fixed

References in corpus (10)

• Holographic c-theorems in arbitrary dimensions
• On the stability of U(1) spin liquids in two dimensions
• Contact Terms, Unitarity, and F-Maximization in Three-Dimensional Superconformal Theories
• Monopoles in CP(N-1) model via the state-operator correspondence
• Redeeming Bad Theories
• Monopoles in 2+1-dimensional conformal field theories with global U(1) symmetry
• Monopole Quantum Numbers in the Staggered Flux Spin Liquid
• A Crack in the Conformal Window
• Finite volume effects and dynamical chiral symmetry breaking in QED3
• Chiral Symmetry breaking in Three Dimensional QED

Cited by in corpus (50)

• Conformal Bootstrap Dashing Hopes of Emergent Symmetry
• Monte Carlo Study of Lattice Compact Quantum Electrodynamics with Fermionic Matter: the Parent State of Quantum Phases
• Coulomb Branch Operators and Mirror Symmetry in Three Dimensions
• Disorder Operators in Chern-Simons-Fermion Theories
• Monopole Operators in $U(1)$ Chern-Simons-Matter Theories
• Monopole Taxonomy in Three-Dimensional Conformal Field Theories
• Rotating superfluids and spinning charged operators in conformal field theory
• Bootstrapping $N_f=4$ conformal QED${}_3$
• Numerical determination of monopole scaling dimension in parity-invariant three-dimensional non-compact QED
• Critical behavior of the QED${}_3$-Gross-Neveu-Yukawa model at four loops
• Anomalous Dimensions in Non-Supersymmetric Bifundamental Chern-Simons Theories
• Anomaly matching in QCD thermal phase transition
• Transition from a Dirac spin liquid to an antiferromagnet: Monopoles in a QED3-Gross-Neveu theory
• Quantum phase transitions in Dirac fermion systems
• QED${}_3$ with quenched disorder: quantum critical states with interactions and disorder
• Confinement transition in the QED${}_3$-Gross-Neveu-XY universality class
• Transition between algebraic and ${\mathbb{Z}}_2$ quantum spin liquids at large $N$
• On the Higher Spin Spectrum of Chern-Simons Theory coupled to Fermions in the Large Flavour Limit
• Anomalous dimensions of monopole operators at the transitions between Dirac and topological spin liquids
• Renormalization and conformal invariance of non-local quantum electrodynamics
• Critical properties of the Néel/algebraic-spin-liquid transition
• Phase structure of self-dual lattice gauge theories in 4d
• Critical properties of the valence-bond-solid transition in lattice quantum electrodynamics
• Superconductivity out of a non-Fermi liquid. Free energy analysis
• Quark distribution inside a pion in many-flavor (2 + 1)-dimensional QCD using lattice computations: UV listens to IR
• Spectrum of conformal gauge theories on a torus
• Conformality and self-duality of $N_f=2$ QED${}_3$
• QED${}_3$-inspired three-dimensional conformal lattice gauge theory without fine-tuning
• Monopole scaling dimension using Monte Carlo
• Anomalous dimensions of monopole operators in scalar QED${}_3$ with Chern-Simons term
• Field theoretic study of electron-electron interaction effects in Dirac liquids
• Polyakov's confinement mechanism for generalized Maxwell theory
• Evidence for 3d bosonization from monopole operators
• Fractionalized gapless quantum vortex liquids
• Anisotropic deconfined criticality in Dirac spin liquids
• QED's in $2+1$ dimensions: complex fixed points and dualities
• Continuous transition between Ising magnetic order and a chiral spin liquid
• Monopole correlations in holographically flavored liquids
• Monopole correlation functions and holographic phases of matter in 2+1 dimensions
• Destabilization of U(1) Dirac spin-liquids on two dimensional non-bipartite lattices by quenched disorder
• Exclusion Inside or at the Border of Conformal Bootstrap Continent
• On Convexity of Charged Operators in CFTs and the Weak Gravity Conjecture
• Monopoles in Dirac spin liquids and their symmetries from instanton calculus
• Critical exponents for the valence-bond-solid transition in lattice quantum electrodynamics
• Monopole hierarchy in transitions out of a Dirac spin liquid
• Analytic framework for self-dual criticality in ${\mathbb{Z}}_k$ gauge theory with matter
• Deconfined quantum criticality in Ising gauge theory entangled with single-component fermions
• Note on Monopole Operators in Chern-Simons-Matter Theories
• Nesting instability of gapless U(1) spin liquids with spinon Fermi pockets in two dimensions
• When Wannier centers jump: Critical points between atomic insulating phases