Foundations for relativistic quantum theory. I. Feynman’s operator calculus and the Dyson conjectures
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Publication:4830663
DOI10.1063/1.1425080zbMath1059.81109arXivmath-ph/0405059OpenAlexW2001721282WikidataQ122978027 ScholiaQ122978027MaRDI QIDQ4830663
Tepper L. Gill, Woodford W. Zachary
Publication date: 14 December 2004
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0405059
Path integrals in quantum mechanics (81S40) Electromagnetic interaction; quantum electrodynamics (81V10) Quantum field theory; related classical field theories (81T99)
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Cites Work
- Proof of the Bogoliubov-Parasiuk theorem on renormalization
- Noncommutative operations on Wiener functionals and Feynman's operational calculus
- Infinite tensor products of Banach spaces I
- A generalization of the Arzelà-Ascoli theorem and its application to Dyson perturbation theory
- Divergence of perturbation theory for bosons
- Zur Formulierung quantisierter Feldtheorien
- Quantum Field Theory in Terms of Vacuum Expectation Values
- On the formulation of quantized field theories — II
- High-Energy Behavior in Quantum Field Theory
- Time-ordered operators and Feynman–Dyson algebras
- Integration in Product Spaces, Including Wiener and Feynman Integration
- Classical theory of radiating electrons
- The<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>Matrix in Quantum Electrodynamics
- On Quantum-Electrodynamics and the Magnetic Moment of the Electron
- On a Relativistically Invariant Formulation of the Quantum Theory of Wave Fields*
- Space-Time Approach to Quantum Electrodynamics
- Mathematical Formulation of the Quantum Theory of Electromagnetic Interaction
- On the Renormalization of Quantum Electrodynamics
- An Operator Calculus Having Applications in Quantum Electrodynamics
- Divergent Integrals in Renormalizable Field Theories
- Divergence of Perturbation Theory in Quantum Electrodynamics
