Self-consistent theory of compact QED3 with relativistic fermions

Abstract

We consider three dimensional quantum electrodynamics (cQED3) with massless relativistic fermions coupled to a compact gauge field using a combined perturbative variational approach. Coupling to matter renders the bare interaction between magnetic monopoles logarithmic at large distances, suggesting the possibility of a confinement-deconfinement transition of the Berezinskii-Kosterlitz-Thouless type in the theory. Our self-consistent calculation suggests, however, that screening effects always destabilise the confined phase, in agreement with the previous renormalisation group study of the same model.

18 pages. Minor typographical errors corrected, journal references updated

References in corpus (4)

• Non-compact QED_3 with N_f >=2
• Permanent confinement in the compact QED3 with fermionic matter
• Absence of U(1) spin liquids in two dimensions
• Kosterlitz-Thouless-like deconfinement mechanism in the 2+1 dimensional Abelian Higgs model

Cited by in corpus (9)

• Ultracold fermions and the SU(N) Hubbard model
• Monte Carlo Study of Lattice Compact Quantum Electrodynamics with Fermionic Matter: the Parent State of Quantum Phases
• Dynamics of Compact Quantum Electrodynamics at Large Fermion Flavor
• Magnetic monopole plasma phase in (2+1)d compact quantum electrodynamics with fermionic matter
• Metal-Insulator Transition in Two- and Three-Dimensional Logarithmic Plasmas
• Instanton correlators and phase transitions in two- and three-dimensional logarithmic plasmas
• Chiral symmetry breaking and monopole dynamics in non-compact QED3 coupled to a four-fermi interaction
• Novel Phases and Old Puzzles in QED3 and related models
• Effects of a strict site-occupation constraint in the description of quantum spin systems at finite temperature