QED${}_3$ with Dynamical Fermions in an External Magnetic Field

Abstract

In this paper, we present results of numerical lattice simulations of two-flavor QED in three space-time dimensions. First, we provide evidence that chiral symmetry is spontaneously broken in the chiral and continuum limit. Next we discuss the role of an external magnetic field $B$ on the dynamically generated fermion mass. We investigate the $B$-dependence of the condensate through calculations with dynamical fermions using the non-compact formulation of the gauge field, and compare the results with those of a comparable study using the quenched approximation.

arXiv comment21 pages, 12 figures

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Cited by in corpus (13)

• QED3 theory of underdoped high temperature superconductors
• Antiferromagnetism from phase disordering of a d-wave superconductor
• Non-Compact QED_3 with N_f=1 and N_f=4
• Non-compact QED_3 with N_f >=2
• QCD dynamics in a constant chromomagnetic field
• Non-perturbative beta function in three-dimensional electrodynamics
• Properties of a consistent Lorentz-violating Abelian gauge theory
• On higher-order corrections in a four-fermion Lifshitz model
• QED${}_3$ on a space-time lattice: compact versus noncompact formulation
• Monopoles, confinement and deconfinement of (2+1)D compact lattice QED in external fields
• Chiral Symmetry Breaking in Planar QED in External Magnetic Fields
• A Lorentz-Violating Alternative to Higgs Mechanism?
• Lorentz-Violating Regulator Gauge Fields as the Origin of Dynamical Flavour Oscillations