Confinement of matter fields in compact (2+1)-dimensional QED theory of high-$T_c$ superconductors

Abstract

We study confinement of matter fields in the effective compact (2+1)-dimensional QED theory of high-$T_c$ superconductors. It is shown that the monopole configurations do not affect the propagator of gauge potential $a_{\mu }$. Based on this result, we found that: chiral symmetry breaking and confinement take place simultaneously in the antiferromagnetic state; neither monopole effect nor Anderson-Higgs mechanism can cause confinement in the d-wave superconducting state.

5 pages, no figures

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Cited by in corpus (9)

• Dynamical chiral symmetry breaking in QED${}_3$ at finite density and impurity potential
• Unconventional behavior of Dirac fermions in three-dimensional gauge theory
• Deconfinement criticality for the spatially anisotropic triangular antiferromagnet with the ring exchange
• The chiral phase transition of QED${}_3$ around the critical number of fermion flavors
• Confinement induced by fermion damping in three-dimensional QED
• Matter fields near quantum critical point in (2+1)-dimensional U(1) gauge theory
• Deconfined criticality for the S=1 spin model on the spatially anisotropic triangular lattice
• Fate of non-Fermi liquid behavior in QED${}_3$ at finite chemical potential
• Neel-VBS phase boundary of the extended J_1-J_2 model with biquadratic interaction