Comments on the Chern-Simons photon term in the QED description of graphene

Abstract

We revisit the Coleman-Hill theorem in the context of reduced planar QED. Using the global U(1) Ward identity for this non-local but still gauge invariant theory, we can confirm that the topological piece of the photon self-energy at zero momentum does not receive further quantum corrections apart from the potential one-loop contribution, even when considering the Lorentz non-invariant case due to the Fermi velocity $v_F<c$. This is of relevance to probe possible time parity odd dynamics in a planar sheet of graphene which has an effective description in terms of $(2+1)$-dimensional planar reduced QED.

New section added, published version

References in corpus (22)

• The electronic properties of graphene
• Chiral tunneling and the Klein paradox in graphene
• Dirac materials
• Electron fractionalization in two-dimensional graphenelike structures
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• Theory of interacting electrons on the honeycomb lattice
• Quantum critical point in graphene approached in the limit of infinitely strong Coulomb interaction
• Chiral Gauge Theory for Graphene
• Boundary Conformal Field Theory and a Boundary Central Charge
• Electromagnetic current correlations in reduced quantum electrodynamics
• Regarding confinement and dynamical chiral symmetry breaking in QED3
• Irrational vs. rational charge and statistics in two-dimensional quantum systems
• Curved Spacetimes and Curved Graphene: a status report of the Weyl-symmetry approach
• Unitarity of theories containing fractional powers of the d'Alembertian operator
• Field theoretic renormalization study of reduced quantum electrodynamics and applications to the ultra-relativistic limit of Dirac liquids
• Graphene through the looking glass of QFT
• The role of frequency dependence in dynamical gap generation in graphene
• Gauge Covariance Relations and the Fermion Propagator in Maxwell-Chern-Simons QED3
• Confinement in Maxwell-Chern-Simons Planar Quantum Electrodynamics and the 1/N approximation
• A purely algebraic construction of a gauge and renormalization group invariant scalar glueball operator
• Off-shell Green functions at one-loop level in Maxwell-Chern-Simons quantum electrodynamics
• Critical number of fermions in three-dimensional QED

Cited by in corpus (18)

• On the exact quantum scale invariance of three-dimensional reduced QED theories
• (Anti-)de Sitter, Poincaré, Super symmetries, and the two Dirac points of graphene
• Torsion in quantum field theory through time-loops on Dirac materials
• Pseudo Quantum Electrodynamics and Chern-Simons theory Coupled to Two-dimensional Electrons
• New point-like sources and a conducting surface in Maxwell-Chern-Simons electrodynamics
• Torsion at different scales: from materials to the Universe
• Electron-Photon Vertex and Dynamical Chiral Symmetry Breaking in Reduced QED: An Advanced Study of Gauge Invariance
• Half-integer anomalous currents in 2D materials from a QFT viewpoint
• Aspects of the pseudo Chiral Magnetic Effect in 2D Weyl-Dirac Matter
• Reduced quantum electrodynamics in curved space
• Non-perturbative field theoretical aspects of graphene and related systems
• Strongly interacting matter in extreme magnetic fields
• On valley asymmetry in a topological interaction for quasi-particles
• Emergence of charge density wave and superconducting phase transitions through Lorentz-invariant interactions in the Haldane-Hubbard model
• A Lorentz-violating low-energy model for the bilayer Graphene
• Time-loops to spot torsion on bidimensional Dirac materials with dislocations
• Spinor solutions of a Chern-Simons model for the superconformal algebra
• Phase transitions in anisotropic graphene