Self-consistent theory of compact QED3 with relativistic fermions

2003/08/31 by Matthew Case, Matthew J. Case, Babak Seradjeh +2 · 2 citations
Physics and Astronomy · #Coupling (piping) #Deconfinement #Fermion #Gauge theory #Massless particle #Mathematical physics #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum field theory #Quantum mechanics #Quantum, superfluid, helium dynamics #Theoretical physics #cond-mat.str-el #cond-mat.supr-con #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2003.10.050

published as Nucl.Phys.B676:572-586,2004 · 18 pages. Minor typographical errors corrected, journal references updated

openalex publication_date 2003/12/02 · arxiv created 2003/12/15 · arxiv updated 2011/08/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Ground States of Quantum Antiferromagnets in Two Dimensions
• The critical properties of the two-dimensional xy model
• Ordering, metastability and phase transitions in two-dimensional systems
• Variational theory of elastic manifolds with correlated disorder and localization of interacting quantum particles
• Absence of U(1) spin liquids in two dimensions
• Kosterlitz–Thouless-like deconfinement mechanism in the (2+1)-dimensional Abelian Higgs model
• Quantum orders and symmetric spin liquids

Cited by

• Monte Carlo Study of Lattice Compact Quantum Electrodynamics with Fermionic Matter: The Parent State of Quantum Phases
• Chiral symmetry breaking and monopole dynamics in noncompactQED3coupled to a four-Fermi interaction