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Prog. Theor. Phys. Vol. 5 No. 5 (1950) pp. 769-786

On the Problem of Gauge-Invariancy and Divergence in the Theory of Elementary Particles, I

Hiroomi Umezawa and Rokuo Kawabe

Institute of Theoretical Physics, Nagoya University

(Received March 20, 1950)

URL : http://ptp.ipap.jp/link?PTP/5/769/
DOI : 10.1143/PTP.5.769

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References:

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29. Such alteration of the definition of the vacuum may cause not only the change of the energy of the vacuum but also the change of the transition matrix, because the vacuum-state from which the transition begins is different from free negative-energy-state.
    As the transition through the vacuum is at least second order process (f²) in perturbation calculation, the effect of above alteration of the transition matrix appears firstly in the third order process.
    So, for the problems of self-energies and of π-µ decay in the second order approximation in this paper, it is sufficient to consider only the alternation of the energy of the vacuum.
    But for the third order processes such as the neutral meson decay it may be neccesary to consider not only the alteration of the energy of the vacuum but also the alteration of the transition matrix.

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 6 No. 3 (1951) pp. 309-321 :

   On the Positron Theory of Vacuum

   Yasuhisa Katayama

2. Progress of Theoretical Physics Vol. 6 No. 4 (1951) pp. 543-558 :

   The Vacuum in Quantum Electrodynamics

   Hiroomi Umezawa and Susumu Kamefuchi

3. Progress of Theoretical Physics Vol. 10 No. 3 (1953) pp. 366-367 :

   On the Gauge Invariancy and the Structure of Elementary Particle

   Yasushi Takahashi

4. Progress of Theoretical Physics Vol. 11 No. 3 (1954) pp. 251-263 :

   On Gauge Invariance and the Structure of Elementary Particles

   Yasushi Takahashi

5. Progress of Theoretical Physics Vol. 30 No. 3 (1963) pp. 370-382 :

   Meissner Effect and the Self-Energy of the Photon

   Osamu Hara

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