Renormalization of fermion velocity in finite temperature QED_{3}

Abstract

At zero temperature, the Lorentz invariance is strictly preserved in three-dimensional quantum electrodynamics. This property ensures that the velocity of massless fermions is not renormalized by the gauge interaction. At finite temperature, however, the Lorentz invariance is explicitly broken by the thermal fluctuation. The longitudinal component of gauge interaction becomes short-ranged due to thermal screening, whereas the transverse component remains long-ranged because of local gauge invariance. The transverse gauge interaction leads to singular corrections to the fermion self-energy and thus results in an unusual renormalization of the fermion velocity. We calculate the renormalized fermion velocity $v^R(p_0,\mathbf{p},T)$ by employing a renormalization group analysis, and discuss the influence of the anomalous dimension ${\eta }_n$ on the fermion specific heat.

arXiv comment8 pages, 2 figures

References in corpus (66)

• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• Observation of a topological 3D Dirac semimetal phase in high-mobility Cd3As2
• Renormalization Group Approach to Interacting Fermions
• Electron-Electron Interactions in Graphene: Current Status and Perspectives
• Dyson-Schwinger Equations and the Application to Hadronic Physics
• Dirac cones reshaped by interaction effects in suspended graphene
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Non-Fermi liquid behaviour of electrons in the half-filled honeycomb lattice (A renormalization group approach)
• Topological Phase Transition and Texture Inversion in a Tunable Topological Insulator
• Marginal Fermi liquid behavior from 2d Coulomb interaction
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• Properties of an algebraic spin liquid on the kagome lattice
• Interaction phenomena in graphene seen through quantum capacitance
• Magnetic oscillations in planar systems with the Dirac-like spectrum of quasiparticle excitations
• Signature of Superfluid Density in the Single-Particle Excitation Spectrum of Bi2Sr2CaCu2O8+delta
• QED3 theory of pairing pseudogap in cuprates: From d-wave superconductor to antiferromagnet via "algebraic" Fermi liquid
• Algebraic Fermi liquid from phase fluctuations: "topological" fermions, vortex "berryons" and QED3 theory of cuprate superconductors
• Quantum critical point in graphene approached in the limit of infinitely strong Coulomb interaction
• Many-body interactions in quasi-freestanding graphene
• Confinement and complex singularities in QED3
• QED3 theory of underdoped high temperature superconductors
• Electron spectral function and algebraic spin liquid for the normal state of underdoped high $T_c$ superconductors
• Temperature Dependent Scattering Rates at the Fermi Surface of Optimally Doped Bi 2212
• Spin correlations in the algebraic spin liquid - implications for high Tc superconductors
• Dual Dirac liquid on the surface of the electron topological insulator
• Theory of spin excitations in undoped and underdoped cuprates
• The Influence of the Full Vertex and Vacuum Polarization on the Fermion Propagator in QED3
• Antiferromagnetism from phase disordering of a d-wave superconductor
• Dynamical Chiral Symmetry Breaking in Unquenched ${QED}_3$
• Renormalization group theory of nematic ordering in d-wave superconductors
• On the Phase Structure of Many-Flavor QED${}_3$
• Anomalous thermodynamics of Coulomb interacting massless Dirac fermions in two spatial dimensions
• Regarding confinement and dynamical chiral symmetry breaking in QED3
• Gauge invariance of a critical number of flavours in QED3
• Entanglement Entropy of 3-d Conformal Gauge Theories with Many Flavors
• Quantum phase transitions between bosonic symmetry protected topological phases in two dimensions: emergent $QE{D}_3$ and anyon superfluid
• Theory of a quantum critical phenomenon in a topological insulator: (3+1)-dimensional quantum electrodynamics in solids
• Massless Dirac Fermions, Gauge Fields, and Underdoped Cuprates
• Effect of gauge boson mass on chiral symmetry breaking in QED${}_3$
• Experimental observables near a nematic quantum critical point in the pnictide and cuprate superconductors
• Absence of dynamical gap generation in suspended graphene
• Disorder effects at a nematic quantum critical point in d-wave cuprate superconductor
• Influence of Coulomb interaction on the anisotropic Dirac cone in graphene
• Renormalization group analysis of multi-Dirac-node materials
• Gauge (non-)invariant Green functions of Dirac fermions coupled to gauge fields
• Massive Dirac fermions and the zero field quantum Hall effect
• Finite volume effects and dynamical chiral symmetry breaking in QED3
• Anomalous Scaling of the Penetration Depth in Nodal Superconductors
• Suppression of superconductivity at nematic critical point in underdoped cuprates
• Signatures of the nematic ordering transitions in the thermal conductivity of d-wave superconductors
• Chiral symmetry breaking and violation of the Wiedemann-Franz law in underdoped cuprates
• Anomalous dimensions of gauge-invariant amplitudes in massless effective gauge theories of strongly correlated systems
• On gauge-invariant Green function in 2+1 dimensional QED
• Elusive physical electron propagator in QED-like effective theories
• Effect of retardation on dynamical mass generation in two-dimensional QED at finite temperature
• Dynamical Mass Generation in a Finite-Temperature Abelian Gauge Theory
• QED3 at Finite Temperature and Density
• Non-Fermi liquid behavior due to U(1) gauge field in two dimensions
• Nature of chiral phase transition in QED${}_3$ at zero density
• Unconventional behavior of Dirac fermions in three-dimensional gauge theory
• Parity Symmetry in QED3
• Gap equation in finite-temperature three-dimensional QED beyond the bare-vertex approximation
• Endemic Infrared Divergences in QED3 at Finite Temperature
• Fate of non-Fermi liquid behavior in QED${}_3$ at finite chemical potential
• Infrared behavior of dynamical fermion mass generation in QED${}_3$
• Comment on "Algebraic Fermi liquid from phase fluctuations: topological fermions, vortex Berryons, and QED theory of cuprate superconductors"

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