Confinement in Maxwell-Chern-Simons planar quantum electrodynamics and the1/Napproximation

Abstract

We study the analytical structure of the fermion propagator in planar quantum electrodynamics coupled to a Chern-Simons term within a four-component spinor formalism. The dynamical generation of parity-preserving and parity-violating fermion mass terms is considered, through the solution of the corresponding Schwinger-Dyson equation for the fermion propagator at leading order of the 1/N approximation in Landau gauge. The theory undergoes a first order phase transition toward chiral symmetry restoration when the Chern-Simons coefficient θ reaches a critical value which depends upon the number of fermion families considered. Parity-violating masses, however, are generated for arbitrarily large values of the said coefficient. On the confinement scenario, complete charge screening -characteristic of the 1/N approximation-is observed in the entire (N, θ)-plane through the local and global properties of the vector part of the fermion propagator.

Random matrix approach to three-dimensional QCD with a Chern-Simons term

“…Part of this rich physics stems from the existence of a Chern-Simons term. In three-dimensional QED (QED 3 ) the interplay of a Chern-Simons term and fermionic symmetry breaking was investigated in [18][19][20][21][22][23][24]. A consensus from these studies is that dynamical symmetry breaking is generally suppressed by a Chern-Simons term, because photons acquire a gauge-invariant mass term which in turn quenches quantum fluctuations.…”

Different critical points of chiral and deconfinement phase transitions in (2 + 1)-dimensional fermion–gauge interacting model

“…Moreover, the authors of Refs. [2,16] pointed out that restoration of chiral symmetry and deconfinement are coincident owing to an abrupt change in the analytic properties of the fermion propagator when a nonzero scalar self-energy becomes insupportable.…”

Off-shell Green functions at one-loop level in Maxwell-Chern-Simons quantum electrodynamics

“…Inserting the above results into the decompositions ( 17) and (15), we obtain the one-loop correction to the fermion propagator, in accordance with Eq. ( 27) of Ref.…”

“…Within the twocomponent fermion formalism, it was observed that while chiral symmetry can be broken, parity symmetry remains untouched [14]. Moreover, this term induces a detaching of chiral symmetry breaking-restoration and confinement-deconfinement transitions [15], leading to a phase resembling quarkonia, where chiral symmetry is restored, but confinement takes place [16]. Confinement and screening effects have been studied in this theory [17] through the behavior of the vacuum polarization.…”