Confinement in Maxwell-Chern-Simons planar quantum electrodynamics and the 1/N approximation

Journal Article · Mon Nov 01 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.096011· OSTI ID:21503839

Hofmann, Christoph P ^[1]; Raya, Alfredo; Madrigal, Saul Sanchez ^[2]

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1. Facultad de Ciencias, Universidad de Colima, Bernal Diaz del Castillo 340, Colima, Colima 28045 (Mexico)
2. Instituto de Fisica y Matematicas, Universidad Michoacana de San Nicolas de Hidalgo, Edificio C-3, Ciudad Universitaria, Morelia, Michoacan 58040 (Mexico)

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.

• OSTI ID: 21503839
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 9; Other Information: DOI: 10.1103/PhysRevD.82.096011; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
CHIRAL SYMMETRY
CONFINEMENT
FERMIONS
MASS
MATHEMATICAL SOLUTIONS
MAXWELL EQUATIONS
PARITY
PHASE TRANSFORMATIONS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
ELECTRODYNAMICS
EQUATIONS
FIELD THEORIES
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
SYMMETRY