Nonperturbative study of the fermion propagator in quenched QED in covariant gauges using a renormalizable truncation of the Schwinger-Dyson equation
- 15 November 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 48 (10), 4933-4939
- https://doi.org/10.1103/physrevd.48.4933
Abstract
The Schwinger-Dyson equation for the fermion propagator in quenched four-dimensional QED is solved using a nonperturbative ansatz for the fermion-photon vertex that satisfies the Ward-Takahashi identity, ensures the multiplicative renormalizability of the fermion equation, and reproduces low-order perturbation theory in the appropriate limit. The fermion propagator then possesses a chiral-symmetry-breaking phase only when the coupling is larger than a critical value . This critical coupling is almost exactly gauge independent as is the dynamically generated mass, in complete contrast to the popular rainbow approximation.
Keywords
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