2020/09/17 by Juan Angel Casimiro Olivares, Luis Albino, Olivares, Juan Angel Casimiro +5 · 1 citation
Physics and Astronomy · #Quantum, superfluid, helium dynamics #Atomic and Subatomic Physics Research #Black Holes and Theoretical Physics
paper · pdf · doi:10.48550/arxiv.2009.08484
Mixed dimensional theories have been used to describe condensed matter\nsystems where fermions are constrained to a plane while the gauge fields they\ninteract with remain four-dimensional. Here we investigate dynamical breaking\nof chiral symmetry in the framework of a mixed-dimensional theory that has been\nsuccessful in describing graphene and other planar Dirac materials and has been\ndubbed as Pseudo or Reduced Quantum Electrodynamics. We explore the interplay\nbetween the gauge and fermion sector when a Chern-Simons term is considered\nand, by exploring the tensor structure of the fermion self energy, we show that\nthe radiative corrections may induce both, a Dirac and a Haldane mass term.\nFurthermore, by solving the corresponding Schwinger-Dyson equation in a\nsuitable truncation, we explore non-perturbatively the dynamical generation of\nfermion masses for different values of the electromagnetic coupling and the\nChern-Simons coefficient. We also show that for definite parameter values, the\ncontributions from each chirality cancel out and the chiral symmetry may be\nrestored. Possible implications of this result for physical systems, in\nparticular on what concerns the chiral magnetic effect, are discussed.\n