Infrared cutoff dependence of the critical flavor number in three-dimensional QED

2003/04/30 by V. P. Gusynin, Manuel Reenders, M. Reenders · 1 citation
Physics and Astronomy · #Cutoff #Fermion #Infrared #Invariant (physics) #Lattice (music) #Mathematical physics #Parity (physics) #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Wavenumber #cond-mat #hep-lat #hep-ph

paper · pdf · doi:10.1103/physrevd.68.025017

published as Phys.Rev. D68 (2003) 025017 · 5 pages, 1 figure (revtex4), final version

openalex publication_date 2003/07/23 · arxiv created 2003/07/30 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We solve, analytically and numerically, a gap equation in parity invariant QED₃ in the presence of an infrared cutoff \ensuremathμ and derive an expression for the critical fermion number N_c as a function of \ensuremathμ. We argue that this dependence of N_c on the infrared scale might solve the discrepancy between continuum Schwinger-Dyson equations studies and lattice simulations of QED₃.

Citations

• Dynamical chiral symmetry breaking in gauge theories with extra dimensions
• Algebraic Fermi Liquid from Phase Fluctuations: “Topological” Fermions, Vortex “Berryons,” andQED3Theory of Cuprate Superconductors
• Chiral symmetry breaking and phase fluctuations: AQED3theory of the pseudogap state in cuprate superconductors

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