Nonperturbative study of the fermion propagator in quenched QED in covariant gauges using a renormalizable truncation of the Schwinger- Dyson equation
Mar, 199320 pages
Published in:
- Phys.Rev.D 48 (1993) 4933-4939
Report number:
- DTP-93-20
Citations per year
Abstract: (APS)
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 α is larger than a critical value αc≃0.92. This critical coupling is almost exactly gauge independent as is the dynamically generated mass, in complete contrast to the popular rainbow approximation.- quantum electrodynamics
- approximation: quenching
- nonperturbative
- fermion: propagator
- fermion: mass generation
- mass generation: fermion
- Dyson-Schwinger equation
- Ward-Takahashi identity
- renormalization
- symmetry breaking: chiral
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