Gauge-invariant masses through Schwinger-Dyson equations

Bashir, Adnan; Raya, Alfredo

doi:10.1063/1.2714384

Cited by 3 publications

(2 citation statements)

References 4 publications

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“…The best are informed by analyses that emphasise the constraints of quantum field theory, amongst which are that the vertex should [12,[29][30][31][32][33][34][35]: be free of kinematic singularities; ensure gauge covariance and invariance; and assist in providing for the multiplicative renormalisability of solutions to the DSEs within which it appears. Ansätze that are largely consistent with these constraints have also been used to represent the dressed quarkgluon vertex.…”

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confidence: 99%

Dynamical chiral symmetry breaking and the fermion–gauge-boson vertex

et al. 2012

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We present a workable model for the fermion-photon vertex, which is expressed solely in terms of functions that appear in the fermion propagator and independent of the angle between the relative momenta, and does not explicitly depend on the covariant-gauge parameter. It nevertheless produces a critical coupling for dynamical chiral symmetry breaking that is practically independent of the covariant-gauge parameter and an anomalous magnetic moment distribution for the dressed fermion that agrees in important respects with realistic numerical solutions of the inhomogeneous vector Bethe-Salpeter equation.

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confidence: 99%

Dynamical chiral symmetry breaking and the fermion–gauge-boson vertex

et al. 2012

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“…(5.3). Transverse supplements to the Gauge Technique are required to meet various principles of QED, including renormalizablility [64,65], gauge covariance [85] and transverse Ward-Green-Takahashi identities [37,38,59,39].…”

Section: Sde For Fermion Propagator Spectral Functionsmentioning

confidence: 99%

Exact solutions to the fermion propagator Schwinger-Dyson equation in Minkowski space with on-shell renormalization for quenched QED

Jia

Pennington

2017

Phys. Rev. D

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With the introduction of a spectral representation, the Schwinger-Dyson equation (SDE) for the fermion propagator is formulated in Minkowski space in QED. After imposing the on-shell renormalization conditions, analytic solutions for the fermion propagator spectral functions are obtained in four dimensions with a renormalizable version of the Gauge Technique anzatz for the fermion-photon vertex in the quenched approximation in the Landau gauge. Despite the limitations of this model, having an explicit solution provides a guiding example of the fermion propagator with the correct analytic structure. The Padé approximation for the spectral functions is also investigated.

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