Dynamical Chiral Symmetry Breaking in Unquenched ${QED}_3$

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dc.creatorFischer, C. S.
dc.creatorAlkofer, R.
dc.creatorDahm, T.
dc.creatorMaris, P.
dc.date2004-07-08
dc.date2004-09-02
dc.date.accessioned2026-07-07T11:09:31Z
dc.date.available2026-07-07T11:09:31Z
dc.descriptionWe 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.
dc.description33 pages, 8 figures, reference added, version to be published in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/hep-ph/0407104
dc.identifierhttp://arxiv.org/abs/hep-ph/0407104
dc.identifierPhys.Rev.D70:073007,2004
dc.identifierdoi:10.1103/PhysRevD.70.073007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190496
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectSuperconductivity
dc.subjectHigh Energy Physics - Lattice
dc.titleDynamical Chiral Symmetry Breaking in Unquenched ${QED}_3$
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