The Use of the Proper Time in Quantum Electrodynamics I
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Progress of Theoretical Physics Vol. 6 No. 3 (1951) pp. 309-321 On the Positron Theory of Vacuum Yasuhisa Katayama Progress of Theoretical Physics Vol. 6 No. 5 (1951) pp. 762-771 On the Path Integral and Its Application Yasuhisa Murai Progress of Theoretical Physics Vol. 15 No. 4 (1956) pp. 333-368 A Relativistic Field Theory of an Extended Particle, I Tadao Nakano Progress of Theoretical Physics Vol. 30 No. 2 (1963) pp. 236-264 Relativistic Hamiltonian Formalism in Quantum Field Theory and Micro-Noncausality Hiroshi Enatsu Progress of Theoretical Physics Vol. 33 No. 5 (1965) pp. 889-906 On a Classical Spinning Particle Model of Dirac Particle Tetsuo Gotō Progress of Theoretical Physics Vol. 43 No. 2 (1970) pp. 564-565 Veneziano Model and Propertime Formulation Yoneji Miyamoto Progress of Theoretical Physics Vol. 44 No. 3 (1970) pp. 823-825 Off-Shell Functions of the Dual-Resonance Takeshi Shirafuji Progress of Theoretical Physics Vol. 45 No. 2 (1971) pp. 501-512 Double Proper-Time Formulation of the Dual-Resonance Model Takeshi Shirafuji Progress of Theoretical Physics Vol. 45 No. 4 (1971) pp. 1258-1280 One-Loop Diagrams of the Dual-Resonance Model in the Proper-Time Formulation Minoru Biyajima and Yoshimasa Takaya Progress of Theoretical Physics Vol. 45 No. 5 (1971) pp. 1607-1617 Canonical Quantization of the Proper Time Formalism in the Dual Resonance Model Chiaki Itoh, Masakatsu Kenmoku and Toshiyuki Minamikawa Progress of Theoretical Physics Vol. 46 No. 4 (1971) pp. 1218-1247 Generalized Transformation Functional of a Continuum Model of the Dual Amplitude Takeshi Shirafuji Progress of Theoretical Physics Vol. 46 No. 5 (1971) pp. 1516-1527 Space-Time Approach to the Lattice Dual Resonance Model Minoru Biyajima Progress of Theoretical Physics Vol. 48 No. 3 (1972) pp. 974-1004 Position-Space Propagators and a Theory of Functional Fields Relevant to the Dual-Resonance Models Masatsugu Minami Progress of Theoretical Physics Vol. 57 No. 1 (1977) pp. 318-328 Derivation of Relativistic Wave Equations in the Theory of Elementary Domains Kunio Yasue Progress of Theoretical Physics Vol. 61 No. 5 (1979) pp. 1521-1535 Relativistic Path Integrals Takashi Miura Progress of Theoretical Physics Vol. 70 No. 4 (1983) pp. 1098-1104 Proper-Time Formulation of Barrier Penetration in Quantum Mechanics Masakazu Ichiyanagi Progress of Theoretical Physics Vol. 81 No. 5 (1989) pp. 916-926 Relativistic Random Motion Parametrized by Observer's Time Teruaki Nakagomi
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The new terms seem to prevent some potential problems with locality pointed out by Smolin.
“Furthermore, the new terms seem to prevent some potential problems with locality pointed out by Smolin [6].”
From “Sum over surfaces” form of loop quantum gravity (1997) · cites this paper as [6]
No long range interaction is likely to emerge from a hamiltonian with these features.
“These difficulties have been recently detailed in Ref. [6], where it is argued that no long range interaction is likely to emerge from a hamiltonian with these features.”
From “Sum over surfaces” form of loop quantum gravity (1997) · cites this paper as [6]
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- Authors
- Nambu, Y.
- Affiliations
- Osaka City University (JP)
- Corresponding author
- Nambu, Y.
- Venue
- Progress of Theoretical Physics
- Publisher
- Oxford University Press (OUP)
- Published
- 1950-02-01
- Volume
- 5
- Issue
- 1
- Pages
- 82-94
- ISSN
- 0033-068X (ISSN-L)
- 1347-4081
- OpenAlex
- W2050047671
- Cited by
- 187
- References
- 0
- Citations by year
- 2026: 8 · 2025: 5 · 2024: 1 · 2023: 4 · 2022: 4 · 2021: 5 · 2020: 7 · 2019: 1 · 2018: 5 · 2017: 5 · 2016: 2 · 2015: 1 · 2013: 1 · 2012: 3
- FWCI
- 4.32
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Progress of Theoretical Physics (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Keywords
- proper time, quantum electrodynamics, Feynman diagrams, electron-positron annihilation
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