Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-10-18
Phys.Rev.D82:096011,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages, 14 eps figures. Accepted in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.82.096011
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 $\theta$ 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 $(N,\theta)$-plane through the local and global properties of the vector part of the fermion propagator.
Hofmann Christoph P.
Madrigal Saúl Sánchez
Raya Alfredo
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