On magnetic catalysis in even-flavor QED3
arXiv:hep-ph/9905272 · doi:10.1103/PhysRevD.61.045005
Abstract
In this paper, we discuss the role of an external magnetic field on the dynamically generated fermion mass in even-flavor QED in three space-time dimensions. Based on some reasonable approximations, we present analytic arguments on the fact that, for weak fields, the magnetically-induced mass increases quadratically with increasing field, while at strong fields one crosses over to a mass scaling logarithmically with the external field. We also confirm this type of scaling behavior through quenched lattice calculations using the non-compact version for the gauge field. Both the zero and finite temperature cases are examined. A preliminary study of the fermion condensate in the presence of magnetic flux tubes on the lattice is also included.
38 pages latex, 18 figures and a style file (axodraw) incorporated (some clarifying remarks concerning the validity of the approximations made and some references were added correcting an earlier version; no effect on conclusions; version to appear in Phys. Rev. D.)
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- Magnetic Catalysis: A Review
- Magnetic catalysis in QED_3 at finite temperature: beyond the constant mass approximation
- Dynamical mass generation in strongly coupled Quantum Electrodynamics with weak magnetic fields
- Inverse magnetic catalysis and confinement within a contact interaction model for quarks
- QED with Dynamical Fermions in an External Magnetic Field
- QED in a Strong External Magnetic Field: Beyond the Constant Mass Approximation
- Monopoles, confinement and deconfinement of (2+1)D compact lattice QED in external fields
- QED in external fields, a functional point of view
- Spatially Anisotropic Four-Dimensional Gauge Interactions, Planar Fermions and Magnetic Catalysis
- Anomalous magnetic moment in parity-conserving QED3
- Decoupling of Layers in the Three-dimensional Abelian Higgs Model
- Radiatively-induced Magnetic moment in four-dimensional anisotropic QED in an external magnetic field