The spectrum consistency of fractional quantum Hall effect model

Abstract

The spectrum consistency of the three fermion family $U(1)\times U(1)$ quantum electrodynamics in three space-time dimensions [Phys. Rev. Lett. 124 (2020) 131601] is analyzed. It has been verified that the originally proposed action violates the unitarity consistency condition in the gauge field sector by exhibiting negative norm states in the spectrum. However, the cure came through the fundamental gauge fields properly settled, consequently, the action rewritten in terms of those fundamental fields shows to be free from any spurious degrees of freedom, and the model now becomes safe for further quantization.

6 pages

References in corpus (9)

• The electronic properties of graphene
• Introduction to topological superconductivity and Majorana fermions
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• Chiral Gauge Theory for Graphene
• Atomic collapse, Lorentz boosts, Klein scattering, and other quantum-relativistic phenomena in graphene
• Persistence of zero modes in a gauged Dirac model for bilayer graphene
• Massive Dirac fermions and the zero field quantum Hall effect
• The Jackiw-Pi model: classical theory
• The quantum scale invariance in graphene-like quantum electrodynamics