Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-07-08
Phys.Rev.D70:073007,2004
Physics
High Energy Physics
High Energy Physics - Phenomenology
33 pages, 8 figures, reference added, version to be published in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.70.073007
We investigate dynamical chiral symmetry breaking in unquenched ${QED}_3$ using the coupled set of Dyson--Schwinger equations for the fermion and photon propagators. For the fermion-photon interaction we employ an ansatz which satisfies its Ward--Green--Takahashi identity. We present self-consistent analytical solutions in the infrared as well as numerical results for all momenta. In Landau gauge, we find a phase transition at a critical number of flavours of $N_f^{\mathrm crit} \approx 4$. In the chirally symmetric phase the infrared behaviour of the propagators is described by power laws with interrelated exponents. For $N_f=1$ and $N_f=2$ we find small values for the chiral condensate in accordance with bounds from recent lattice calculations. We investigate the Dyson--Schwinger equations in other linear covariant gauges as well. A comparison of their solutions to the accordingly transformed Landau gauge solutions shows that the quenched solutions are approximately gauge covariant, but reveals a significant amount of violation of gauge covariance for the unquenched solutions.
Alkofer Reinhard
Dahm Thomas
Fischer Christian S.
Maris Pieter
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