On the Phase Structure of Many-Flavor QED${}_3$

Abstract

We analyze the many-flavor phase diagram of quantum electrodynamics (QED) in 2+1 (Euclidean) space-time dimensions. We compute the critical flavor number above which the theory is in the quasi-conformal massless phase. For this, we study the renormalization group fixed-point structure in the space of gauge interactions and pointlike fermionic self-interactions, the latter of which are induced dynamically by fermion-photon interactions. We find that a reliable estimate of the critical flavor number crucially relies on a careful treatment of the Fierz ambiguity in the fermionic sector. Using a Fierz-complete basis, our results indicate that the phase transition towards a chirally-broken phase occurring at small flavor numbers could be separated from the quasi-conformal phase at larger flavor numbers, allowing for an intermediate phase which is dominated by fluctuations in a vector channel. If these interactions approach criticality, the intermediate phase could be characterized by a Lorentz-breaking vector condensate.

arXiv comment19 pages, 8 figures, 2 tables

References in corpus (89)

• Exact evolution equation for the effective potential
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Aspects of the Functional Renormalisation Group
• Optimised Renormalisation Group Flows
• Dirac Fermions in Solids - from High Tc cuprates and Graphene to Topological Insulators and Weyl Semimetals
• Optimisation of the exact renormalisation group
• Ultraviolet Fixed Point and Generalized Flow Equation of Quantum Gravity
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• Orientifold theory dynamics and symmetry breaking
• Walking in the SU(N)
• Light Composite Higgs from Higher Representations versus Electroweak Precision Measurements -- Predictions for LHC
• Conformality Lost
• Theory of interacting electrons on the honeycomb lattice
• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• QED3 theory of pairing pseudogap in cuprates: From d-wave superconductor to antiferromagnet via "algebraic" Fermi liquid
• The Zero Temperature Chiral Phase Transition in SU(N) Gauge Theories
• Algebraic Fermi liquid from phase fluctuations: "topological" fermions, vortex "berryons" and QED3 theory of cuprate superconductors
• Renormalization Flow of Bound States
• Lattice field theory simulations of graphene
• Composite Higgs from Higher Representations
• The Physical Spectrum of Conformal SU(N) Gauge Theories
• Confinement and complex singularities in QED3
• Flow Equations and BRS Invariance for Yang-Mills Theories
• QED3 theory of underdoped high temperature superconductors
• A New Constraint on Strongly Coupled Field Theories
• Chiral phase structure of QCD with many flavors
• Chiral phase boundary of QCD at finite temperature
• The Influence of the Full Vertex and Vacuum Polarization on the Fermion Propagator in QED3
• Mind The Gap
• Quantum Critical Behaviour in a Graphene-like Model
• Running coupling in Yang-Mills theory - a flow equation study -
• Antiferromagnetism from phase disordering of a d-wave superconductor
• Dynamical Chiral Symmetry Breaking in Unquenched ${QED}_3$
• Asymptotic safety: a simple example
• Universality of spontaneous chiral symmetry breaking in gauge theories
• Renormalization flow of Yang-Mills propagators
• Flow Equations for Yang-Mills Theories in General Axial Gauges
• Phase transition and critical behaviour of the d=3 Gross-Neveu model
• Monte Carlo Simulation of the Semimetal-Insulator Phase Transition in Monolayer Graphene
• Gluon Condensation in Nonperturbative Flow Equations
• Gauge invariance and background field formalism in the exact renormalisation group
• Towards a renormalizable standard model without fundamental Higgs scalar
• Non-Compact QED_3 with N_f=1 and N_f=4
• Photons and Gravitons as Goldstone Bosons, and the Cosmological Constant
• Critical exponents of the Gross-Neveu model from the effective average action
• Non-compact QED_3 with N_f >=2
• Running coupling at finite temperature and chiral symmetry restoration in QCD
• Chiral Symmetry Breaking and Phase Fluctuations in Cuprate Superconductors: A QED${}_3$ Unified Theory of the Pseudogap State
• Renormalization flow of QED
• Renormalisation group flows for gauge theories in axial gauges
• Regarding confinement and dynamical chiral symmetry breaking in QED3
• Flow Equations without Mean Field Ambiguity
• The Heavy Quark Potential from Wilson's Exact Renormalization Group
• Chiral Symmetry Breaking, Deconfinement and Entanglement Monotonicity
• Gauge invariance of a critical number of flavours in QED3
• UV fixed-point structure of the three-dimensional Thirring model
• Chiral symmetry breaking in ${\mathrm{QED}}_3$ in presence of irrelevant interactions: a renormalization group study
• Monte-Carlo simulation of the tight-binding model of graphene with partially screened Coulomb interactions
• Critical behavior of the (2+1)-dimensional Thirring model
• Beyond Miransky Scaling
• Geometrical and topological aspects of graphene and related materials
• The Three Dimensional Thirring Model for Small N_f
• Critical Flavor Number in the Three Dimensional Thirring Model
• Effective theory of high-temperature superconductors
• Dynamical Symmetry Breaking in QED_3 from the Wilson RG Point of View
• Fermi velocity renormalization and dynamical gap generation in graphene
• First-order Phase Transition in Three-dimensional QED with Chern--Simons Term
• Infrared cutoff dependence of the critical flavor number in three-dimensional QED
• Thirring Model as a Gauge Theory
• Dynamical Breakdown of Chirality and Parity in (2+1)-dimensional QED
• Large-N analysis of (2+1)-dimensional Thirring model
• Spontaneous Chiral-Symmetry Breaking in Three-Dimensional QED with a Chern--Simons Term
• Inverse Landau-Khalatnikov Transformation and Infrared Critical Exponents of (2+1)-dimensional Quantum Electrodynamics
• Effect of short-range interactions on the quantum critical behavior of spinless fermions on the honeycomb lattice
• Thirring Model as a Gauge Theory
• The Phase Diagram of the Three Dimensional Thirring Model
• A Comment on the Zero Temperature Chiral Phase Transition in $SU(N)$ Gauge Theories
• Finite volume effects and dynamical chiral symmetry breaking in QED3
• Fermion Mass Generation in the D-dimensional Thirring Model as a Gauge Theory
• Spontaneous symmetry breaking in the colored Hubbard model
• Anomalous scaling of fermions and order parameter fluctuations at quantum criticality
• Chiral Symmetry breaking in Three Dimensional QED
• QED${}_3$ on a space-time lattice: compact versus noncompact formulation
• Confinement in Maxwell-Chern-Simons Planar Quantum Electrodynamics and the 1/N approximation
• Effects of Anisotropy in QED3 from Dyson-Schwinger equations in a box
• Critical scaling of finite temperature QED_3 in anisotropic space-time
• Instability in scalar channel of fermion-antifermion scattering amplitude in massless QED_3 and anomalous dimensions of composite operators
• Non-compact QED3 at finite temperature: the confinement-deconfinement transition
• Effects of Anisotropy in (2+1)-dimensional QED

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