Stress tensor and current correlators of interacting conformal field theories in 2+1 dimensions: Fermionic Dirac matter coupled to U(1) gauge field

Abstract

We compute the central charge $C_T$ and universal conductivity $C_J$ of $N_F$ fermions coupled to a $U(1)$ gauge field up to next-to-leading order in the $1/N_F$ expansion. We discuss implications of these precision computations as a diagnostic for response and entanglement properties of interacting conformal field theories for strongly correlated condensed matter phases and conformal quantum electrodynamics in $2+1$ dimensions.

19 pages, 6 figures, 2 tables, 55 references. V3 corrects sign error, our evaluations of the C_T graphs now match http://arxiv.org/abs/1602.01076

References in corpus (13)

• "Deconfined" quantum critical points
• Holographic c-theorems in arbitrary dimensions
• Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• Quantum critical point in graphene approached in the limit of infinitely strong Coulomb interaction
• Bridging lattice-scale physics and continuum field theory with quantum Monte Carlo simulations
• Quantum criticality of U(1) gauge theories with fermionic and bosonic matter in two spatial dimensions
• Algebraic charge liquids
• Conductivity of interacting massless Dirac particles in graphene: Collisionless regime
• Effective field theory, three-loop perturbative expansion, and their experimental implications in graphene many-body effects
• Two-loop fermion self-energy in reduced quantum electrodynamics and application to the ultra-relativistic limit of graphene
• The Ubiquitous 'c': from the Stefan-Boltzmann Law to Quantum Information
• Comments on scale and conformal invariance in four dimensions

Cited by in corpus (14)

• Renormalised 3-point functions of stress tensors and conserved currents in CFT
• Quantum Electrodynamics in d=3 from the epsilon-expansion
• Holographic studies of Einsteinian cubic gravity
• Chiral symmetry breaking in three-dimensional quantum electrodynamics as fixed point annihilation
• Evaluation of conformal integrals
• On $C_J$ and $C_T$ in the Gross-Neveu and $O(N)$ Models
• Bootstrapping $N_f=4$ conformal QED${}_3$
• Deconfined criticality in the QED${}_3$ Gross-Neveu-Yukawa model: The $1/N$ expansion revisited
• QED${}_3$ with quenched disorder: quantum critical states with interactions and disorder
• Scaling dimensions in QED${}_3$ from the $\epsilon$-expansion
• Flavor and topological current correlators in parity-invariant three-dimensional QED
• Renormalization and conformal invariance of non-local quantum electrodynamics
• Conformal field theory and the hot phase of three-dimensional U(1) gauge theory
• Universal conductivity at a 2d superconductor-insulator transition: the effects of quenched disorder and Coulomb interaction