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High Energy Physics - Phenomenology

arXiv:hep-ph/0407104 (hep-ph)
[Submitted on 8 Jul 2004 (v1), last revised 2 Sep 2004 (this version, v2)]

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

Authors:C. S. Fischer, R. Alkofer, T. Dahm, P. Maris
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Abstract: 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.
Comments: 33 pages, 8 figures, reference added, version to be published in Phys. Rev. D
Subjects: High Energy Physics - Phenomenology (hep-ph); Superconductivity (cond-mat.supr-con); High Energy Physics - Lattice (hep-lat)
Report number: UNITU-THEP-6/04, IPPP/04/25, DCPT/04/50
Cite as: arXiv:hep-ph/0407104
  (or arXiv:hep-ph/0407104v2 for this version)
  https://doi.org/10.48550/arXiv.hep-ph/0407104
Journal reference: Phys.Rev.D70:073007,2004
Related DOI: https://doi.org/10.1103/PhysRevD.70.073007

Submission history

From: Christian Fischer [view email]
[v1] Thu, 8 Jul 2004 17:49:20 UTC (363 KB)
[v2] Thu, 2 Sep 2004 08:14:10 UTC (363 KB)
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