Fermion Propagator in Quenched QED3 in the light of the Landau-Khalatnikov-Fradkin transformation

Abstract

We study the gauge dependence of the fermion propagator in quenched QED3 with and without dynamical symmetry breaking in the light of its Landau-Khalatnikov-Fradkin Transformation (LKFT). In the former case, starting with the massive bare propagator in the Landau gauge, we obtain non perturbative propagator in an arbitrary covariant gauge. At the one-loop level it yields exact wavefunction renormalization and correct $(\alpha \xi )$ terms for the mass fuction. Also, we obtain valuable information for the higher order perturbative expansion of the propagator. As for the case of dynamical chiral symmetry breaking, we start by approximating the numerical solution to the Schwinger-Dyson equation in Landau gauge in the rainbow approximation in terms of analytic functions. We then LKF transform this result to obtain the dynamically generated fermion propagator in an arbitrary covariant gauge. We find that the results obtained have nice qualitative features. We also extend this exercise to the cases involving more reliable ansätze for the vertex and encounter similar (and improved) qualitative features.

arXiv comment6 pages, 6 figures. Contribution to the Proceedings of QCD Downunder 2004 Workshop, held at the Special Centre for the Subatomic Structure of Matter, University of Adelaide, March, 2004. Uses espcrc2.sty

References in corpus (13)

• QED3 theory of pairing pseudogap in cuprates: From d-wave superconductor to antiferromagnet via "algebraic" Fermi liquid
• QED3 theory of underdoped high temperature superconductors
• Non-compact QED_3 with N_f >=2
• Gauge independent Chiral Symmetry Breaking in Quenched QED
• Gauge covariant fermion propagator in quenched, chirally-symmetric quantum electrodynamics
• Landau-Khalatnikov-Fradkin Transformations and the Fermion Propagator in Quantum Electrodynamics
• Infrared cutoff dependence of the critical flavor number in three-dimensional QED
• The effect of velocity anisotropy on the antiferromagnetic instability of a d-wave superconductor
• Constructing the fermion-boson vertex in QED3
• Gauge Dependence of Mass and Condensate in Chirally Asymmetric Phase of Quenched QED3
• Dynamical Gauge Symmetry Breaking and Superconductivity in three-dimensional systems
• The chiral limit of non-compact QED(3)
• Gauge Invariance and Construction of the Fermion-Boson Vertex in QED3

Cited by in corpus (5)

• Landau-Khalatnikov-Fradkin transformations in Reduced Quantum Electrodynamics
• 3-point off-shell vertex in scalar QED in arbitrary gauge and dimension
• Gauge Covariance Relations and the Fermion Propagator in Maxwell-Chern-Simons QED3
• Non-perturbative field theoretical aspects of graphene and related systems
• Generalized LKF transformations for $N$-point fermion correlators in QED