Chiral Symmetry Breaking in Planar QED in External Magnetic Fields
Paolo Cea, Leonardo Cosmai, Pietro Giudice, Alessandro Papa
TL;DR
This paper studies how an external magnetic field induces mass in massless Dirac fermions in planar QED, with implications for understanding the quantum Hall effect in graphene.
Contribution
It demonstrates dynamical mass generation for Dirac fermions in planar QED under magnetic fields using lattice simulations, connecting to quantum Hall physics in graphene.
Findings
Mass is dynamically generated for Dirac fermions in weak coupling.
Results are extrapolated to the quantum Hall effect in graphene.
Lattice simulations support the theoretical prediction of chiral symmetry breaking.
Abstract
We investigate planar quantum electrodynamics (QED) with two degenerate staggered fermions in an external magnetic field on the lattice. We argue that in external magnetic fields there is dynamical generation of mass for two-dimensional massless Dirac fermions in the weak-coupling region. We extrapolate our lattice results to the quantum Hall effect in graphene.
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