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Truncated Schwinger-Dyson equations and gauge covariance in QED3

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Abstract

We study the Landau-Khalatnikov-Fradkin transformations (LKFT) in momentum space for the dynamically generated mass function in QED3. Starting from the Landau gauge results in the rainbow approximation, we construct solutions in other covariant gauges. We confirm that the chiral condensate is gauge invariant as the structure of the LKFT predicts. We also check that the gauge dependence of the constituent fermion mass is considerably reduced as compared to the one obtained directly by solving SDE.

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Authors and Affiliations

  1. Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Morelia, Michoacán, México

    A. Bashir & A. Raya

  2. Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Circuito Exterior, México

    A. Bashir & A. Raya

  3. IPPP, Durham University, Durham, UK

    A. Bashir

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  1. A. Bashir
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  2. A. Raya
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Correspondence: A. Bashir, Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Apartado Postal 2-82, Morelia, Michoacán 58040, México

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Bashir, A., Raya, A. Truncated Schwinger-Dyson equations and gauge covariance in QED3. Few-Body Systems 41, 185–199 (2007). https://doi.org/10.1007/s00601-007-0177-3

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