Divergence of Perturbation Theory in Quantum Electrodynamics¶
Dyson, F. J. (1952). Divergence of Perturbation Theory in Quantum Electrodynamics. Physical Review, 85(4), 631-632.
Cited by¶
3 citations across 3 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Perturbation Theory
- Convergence: most physically interesting series (QED's α expansion, anharmonic oscillators) are asymptotic
This sourceProves that the perturbation series in QED is asymptotic, not convergent; coefficients grow factorially; establishes that "more orders" eventually increase error; paradigmatic for understanding asymptotic series in physics.
- Convergence: most physically interesting series (QED's α expansion, anharmonic oscillators) are asymptotic
Mechanisms¶
- Borel–Padé Resummation
- Convergence or Asymptotic Behavior Check
- Many of the most important perturbation series in physics are exactly this kind — the quantum electrodynamics perturbation series is famously asymptotic (divergent) yet superbly accurate when truncated near its optimal order.
This sourceArgues that the quantum-electrodynamics perturbation expansion is divergent rather than convergent.
- Many of the most important perturbation series in physics are exactly this kind — the quantum electrodynamics perturbation series is famously asymptotic (divergent) yet superbly accurate when truncated near its optimal order.
Verification¶
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Registry ID ref:13fe624700f2 · see in the full table